Abstract
Primary goal of this research is to enhance stability of nanofluids which is vital for maintaining consistent thermophysical properties during various applications. Nanofluid stability is essential for obtaining the uniform thermophysical properties during its application. X-ray diffraction and zeta potential were performed to characterize three nanoparticles, namely TiO2, Al2O3, and ZnO. Experimental work was carried out under several trials to enhance the stability of nanofluids. Initially, deionized water was used as base fluid for stability analysis, but nanoparticles agglomerate within after 5 h. Second, alkaline water was selected as base fluid at different pHs ranging from 7 to 14 to analyze the stability of the nanofluids. Finally, the effect of surfactant addition on the stability of prepared nanofluids was also investigated. Observations revealed that at pH 11, nanoparticles exhibited enhanced stability compared to other pH levels. This stability can be attributed to the high zeta potential, fostering electrostatic repulsion between individual particles. It was concluded from the results that zeta potential increases in cases of (TiO2 + ZnO) and (Al2O3 + ZnO) from −44.2 to −47.8 mV and −42.4 to −44.1 mV with the addition of surfactant, respectively. In the case of (Al2O3 + TiO2), zeta potential decreases slightly from −47.7 to −44.9 mV with the addition of surfactant.
Graphical abstract

Abbreviations
- DI
-
deionized water
- EDLRF
-
electrical double layer repulsive force
- MF
-
magnetic field
- MWCNT
-
multi-walled carbon nanotubes
- UV-DRS
-
UV-diffuse reflectance studies
- SDS
-
sodium dodecyl sulfate
- XRD
-
X-ray diffraction
1 Introduction
The enhancement of heat transfer is essential for optimizing the efficiency of thermal systems for sustainable industrial development. Thermal system involves the use of different working fluids like water, engine oil, and ethylene glycol, which shows poor thermophysical properties [1]. Historically, water has been widely utilized as the primary working fluid in thermal systems owing to its abundant availability and relatively low cost. Nevertheless, a limitation of water lies in its relatively limited heat conductivity. In order to augment this particular attribute, the incorporation of nanoparticles into the fundamental fluid can be employed, hence enhancing its thermophysical properties [1,2,3]. The primary obstacle faced in preparation of stable nanofluids is the tendency for nanoparticles sedimentation or agglomeration due to their high surface energy. Following the production of the nanofluid, the subsequent tasks involve guaranteeing its stability and augmenting its properties. Techniques adopted for stable nanofluid preparation include sonication, magnetic agitation, homogenization, and surfactant as dispersant agents. Among these, the use of surfactants has the potential to significantly reduce agglomeration and enhance stability.
Hussain et al. considered the thermal impact on varied convection flow in hybrid nanofluids and concluded that the hybrid nano fluidity gets improved with the volume variation of nanoparticles [4]. Sun et al. [5] analyzed the effect of magnetic field (MF) on heat transfer by Fe3O4 ferrofluid with swirl flow inside the tube at various Reynolds numbers. The MF was applied to three different sections of the tube: near the entrance, in the middle of the tube, and near the outlet. The results demonstrate that applying a MF increases the convective heat transfer coefficient (h) by 1.1, 11.13, and 39.42%, respectively. Braut et al. [6] demonstrated experimentally optical properties of nanofluids by temperature, surfactant content, and ultrasonication period. After 7 days of sample preparation enhancement, transmittance was more visible at lower concentrations (0.0004%). Noor and Alshehry analyzed the nanofluid boundary layer flows over a bidirectional in both convective and MF environments and concluded that temperature distribution is reduced by increasing the Prandtl number [7]. Rao et al. [8] showed the effect of size of nanoparticle by selecting 1–2 nm on thermal conductivity enhancement and results revealed that thermal conductivity increases as particle size decreases. Recently, Peyghambarzadeh et al. [9] studied Al2O3/water unary nanofluid in car radiators and achieved 45% higher heat transfer than pure water. Kumar et al. [10] conducted an experimental investigation of water-based hybrid nanofluid Al2O3-SiO2 at three different concentrations: 0.2, 0.4, and 0.6 wt%. The results demonstrate that the nanofluid with a concentration of 0.2 wt% exhibits extremely weak stability. In contrast, the nanofluid with a concentration of 0.4 wt% demonstrates moderate stability, while the nanofluid with a concentration of 0.6 wt% shows relatively good stability even after being kept under static conditions for 30 days. Martínez et al. [11] characterized water-based nanofluid using ZnO nanoparticles with a size of 17 nm. The viscosity and thermal conductivity of nanofluid were analyzed over a temperature range of 5–25°C for two different concentrations 1 and 3 wt%. The results indicated that the sample with 3 wt% concentration exhibited improved stability than 1 wt% concentration and it took 7 days to decrease its absorbance by the same amount as the 1 wt% sample. Nine et al. [12] analyzed the effect of nanoparticle shape on thermal conductivity of hybrid nanofluid consisting of Al2O3-multi-walled carbon nanotubes (MWCNTs)/water. The findings indicate that the thermal conductivity was enhanced by increasing the ratio of MWCNTs in hybrid nanofluid. Further, cylindrical-shaped nanoparticles demonstrated more significant enhancement in thermal conductivity compared to spherical-shaped particles. Nguyen et al. [13] conducted experiment using Al2O3/water with nanoparticle concentration of 6.8% by volume in car radiator and achieved 40% increase in heat transfer coefficient.
It has been concluded from literature review that most of the researchers focused their study on unary nanoparticles dispersed fluids. Researchers have only marginally investigated the thermal properties of binary and ternary types of nanofluids especially in terms of stability analysis. Considerable research efforts have been dedicated to investigating the thermophysical properties and practical applications of nanofluids containing a single type of nanoparticle. However, a significant research gap exists in examining nanofluids, including two or three different types of nanoparticles. The literature has only provided a limited exploration of the stability analysis of these increasingly intricate nanofluids. In light of this identified need, the present investigation endeavors to concentrate on the amalgamation and delineation of binary nanofluids, exploring six distinct permutations using Al2O3, ZnO, and TiO2. The aim of this research is to provide new insights and optimizations to the area by further investigating the stability enhancement of nanofluids through the utilization of binary combinations.
2 Method and materials
2.1 Nanofluids preparation
Preparation of stable nanofluid is not just a simple process of mixing the nanoparticles into the base fluid; it is still a challenging task for researchers. Generally, there are two basic methods to prepare nanofluids: the single-step preparation method and the two-step preparation method. In the single-step method, nanoparticles are prepared and suspended in the base fluid simultaneously as shown in Figure 1.

Single-step method of nanofluid preparation.
Two-step method is widely used to produce nanofluids for commercial purposes. In this method, initially, nanoparticles in dry powdered form are prepared with the help of physical and chemical processes. Then, this dry powder is blended with liquid to form nanosuspension. The attractive feature of this method is that it produces nanofluids for industrial applications economically. Further, Figure 2 demonstrates the basic steps involved in two-step method.

Two-step method of nanofluid preparation.
2.2 Stability of nanofluids
Once the nanofluids are synthesized, the next challenge for researchers is their stability and enhancement. Nanofluids stability is important for obtaining the same thermophysical properties. Nanofluid’s stability is the function of van der Waals force of attraction and electrical double layer repulsive force (EDLRF). Van der Waals attractive forces must be smaller than EDLRF to obtain stable nanofluid [14]. The major problem with two-step method is the agglomeration of particles in base fluid. Due to this, pH control, the addition of surfactants, and ultrasonication techniques are used to avoid or reduce the agglomeration effect.
TiO2 nanoparticles are initially selected for nanofluid preparation with deionized water (DI) water during this experimental trail as shown in Figure 3(a). First, nanoparticles were blended with the help of a magnetic stirrer, and then sonication is applied for 2 h to achieve stability, but after 5 h nanoparticles were agglomerated at the lower portion of conical flask as shown in Figure 3(b).

(a) Experimental trail 1 for stability enhancement in DI water. (b) Sedimentation of TiO2 nanoparticles after 5 h in DI water.
In another trial, similar to the previous one, TiO2 nanoparticles were selected for nanofluid preparation with water having different pH from 7 to 14 to enhance the stability of nanofluids. The result concluded that at pH 11, nanoparticles were quite stable as compared to the rest of the pH samples; this is due to higher zeta potential, which leads to electrostatic repulsion of individual particles, as shown in the Figure 4(b).

(a) Experimental trail 2 for stability enhancement in pH water. (b) Sedimentation of TiO2 nanoparticles after 1 day at different pH water.
3 Results and discussion
3.1 Characterization
Characterization of nanoparticles is carried out using X-ray diffraction (XRD) and zeta potential. XRD is a widely used technique for characterizing the crystal structure of materials, including nanomaterials. Zeta potential absolute values determine the stability of nanofluid.
XRD and zeta potential characterize the nanoparticles. Figure 5(a)–(c) illustrates the XRD images of nanoparticles. The high resultant particle peaks of Al2O3, TiO2, and ZnO particles appear near 2θ equal to 25.7°, 35.3°, 38.00°, 43.57°, 52.92°, 57.89°, and 66.95° for Al2O3 similarly, 25.53°, 38.12°, 48.44°, 54.35°, 55.48°, and 63.2° for TiO2 and 31.68°, 34.35°, 36.09°, 47.38°, 56.43°, 62.5°, and 67.7° for ZnO nanoparticle, respectively.

(a) XRD analysis of Al2O3 nanoparticle. (b) XRD analysis of TiO2 nanoparticle. (c) XRD analysis of ZnO nanoparticle.
3.2 Zeta potential of binary nanofluid
Zeta potential is the potential that develops between fluid medium and charged nanoparticles. Its absolute value shows the degree of repulsive forces between the particles in the fluid. For stable colloids, the zeta potential must be higher (either positive or negative). Low zeta colloids tend to agglomerate. Zeta potential of the nanofluids were measured to determine the stability of nanofluids using Malvern Zeta sizer. The charged particles’ electrophoretic movement calculates zeta potential under an electric field’s influence [15] (Table 1).
Specifications of different combinations of binary nanofluid
Sample # | TiO2 | Al2O3 | ZnO | Surfactant | pH |
---|---|---|---|---|---|
6 | 10 mg | 10 mg | X | X | 11 |
7 | 10 mg | X | 10 mg | X | 11 |
8 | X | 10 mg | 10 mg | X | 11 |
9 | 10 mg | 10 mg | X | Sodium dodecyl sulfate (SDS) | 11 |
10 | 10 mg | X | 10 mg | SDS | 11 |
11 | X | 10 mg | 10 mg | SDS | 11 |
In this study, three nanoparticles were selected TiO2, Al2O3, and ZnO to prepare six combinations of binary nanofluids as mentioned in the above table. The main objective of the study is to enhance the stability of nanofluids, that is why different trails were conducted with and without surfactant addition at pH water.
Figure 6 illustrates the zeta potential curves for binary nanofluid sample (TiO2 + ZnO) without and with the addition of a surfactant environment. The nanofluid stability increases with the addition of surfactant, which is reflected in high intensity peak of zeta potential. According to experimental results, its zeta potential increases from −44.2 to −47.8 mV with the addition of surfactant. Higher zeta potential is due to long alkyl chain which contributes to steric stability by creating strong repulsive forces between nanoparticles and base fluid. This effect prevents agglomeration thus resulting in higher stability (Rehman et al. [16]).

Zeta potential curves for binary TiO2 + ZnO nanoparticles (a) without surfactant and (b) with surfactant.
Figure 7 illustrates the zeta potential curves for binary nanofluid sample (Al2O3 + ZnO) without and with the addition of a surfactant environment. The nanofluid stability increases with the addition of surfactant, which is reflected with high-intensity peak of zeta potential. According to experimental results, its zeta potential increases from −42.4 to −44.1 mV with the addition of surfactant. This long-term stability is due to long alkyl chain which contributes to steric stability by creating strong repulsive forces between nanoparticles and base fluid. This effect prevents agglomeration thus resulting in higher stability (Rehman et al. [16]).

Zeta potential curves for binary Al2O3 + ZnO nanoparticles (a) without surfactant and (b) with surfactant.
Figure 8 illustrates the zeta potential curves for binary nanofluid sample (Al2O3 + TiO2) without and with the addition of a surfactant environment. According to experimental results, its zeta potential slightly decreases from −47.7 to −44.9 mV with the addition of surfactant. Furthermore, the selected binary nanofluid (Al2O3 + TiO2) without any surfactant shows good dispersion; this is because, in polar liquids, Al2O3 can develop a significant amount of surface charge that can enhance dispersion stability by electrostatic repulsion [17]. Since, both Al2O3 and TiO2 nanoparticles carried a positive charge, when a negatively charged surfactant was introduced, it absorbed onto the nanoparticles, thereby modifying their surface charges. This led to an overall increase in the negative charge on the nanoparticle surface, causing repulsive forces to become less strong. Consequently, there was a slight reduction in the zeta potential.

Zeta potential curves for binary Al2O3 + TiO2 nanoparticles (a) without surfactant and (b) with surfactant.
Figure 9 demonstrates the stability of binary nanofluid with and without surfactant for 3 weeks. It was observed that the addition of surfactant increases stability except in polar liquids containing Al2O3.

Sedimentation photograph test of binary nanofluid.
4 Conclusion and future work
This study presents the preparation, stability, and enhancement of binary nanofluid experimentally to achieve uniform thermophysical properties during heat transport applications. XRD and zeta potential were carried out to characterize Al2O3, TiO2, and ZnO nanoparticles. Based on this study, the conclusions are as follows:
The nanofluid stability was considerably week when DI water was used as base fluid.
Stability of the nanofluid was discovered to increase in pH water than in DI water and achieved best value at pH 11.
The zeta potential of binary nanofluid increases with the addition of surfactant, except in case of polar liquids containing Al2O3.
The binary nanofluid achieved good stability even after 2 weeks, as evident from the sedimentation photograph method.
Finally, the following challenges are identified for future work:
Most of the literature focused on the thermophysical properties of nanofluid, but long-term stability is still a significant challenge for industrial applications and commercialization.
The optimum sonication and magnetic stirring time are not yet determined for different nanofluid types.
More research is required to select an optimum surfactant concentration for different nanofluid types.
More research is needed on the corrosive and erosive effects of magnetic nanomaterial.
-
Funding information: Open Access funding provided by the Qatar National Library.
-
Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.
-
Conflict of interest: The authors state no conflict of interest.
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- Robustness and dynamical features of fractional difference spacecraft model with Mittag–Leffler stability
- Characterizing magnetohydrodynamic effects on developed nanofluid flow in an obstructed vertical duct under constant pressure gradient
- Study on dynamic and static tensile and puncture-resistant mechanical properties of impregnated STF multi-dimensional structure Kevlar fiber reinforced composites
- Thermosolutal Marangoni convective flow of MHD tangent hyperbolic hybrid nanofluids with elastic deformation and heat source
- Investigation of convective heat transport in a Carreau hybrid nanofluid between two stretchable rotatory disks
- Single-channel cooling system design by using perforated porous insert and modeling with POD for double conductive panel
- Special Issue on Fundamental Physics from Atoms to Cosmos - Part I
- Pulsed excitation of a quantum oscillator: A model accounting for damping
- Review of recent analytical advances in the spectroscopy of hydrogenic lines in plasmas
- Heavy mesons mass spectroscopy under a spin-dependent Cornell potential within the framework of the spinless Salpeter equation
- Coherent manipulation of bright and dark solitons of reflection and transmission pulses through sodium atomic medium
- Effect of the gravitational field strength on the rate of chemical reactions
- The kinetic relativity theory – hiding in plain sight
- Special Issue on Advanced Energy Materials - Part III
- Eco-friendly graphitic carbon nitride–poly(1H pyrrole) nanocomposite: A photocathode for green hydrogen production, paving the way for commercial applications
Articles in the same Issue
- Regular Articles
- Numerical study of flow and heat transfer in the channel of panel-type radiator with semi-detached inclined trapezoidal wing vortex generators
- Homogeneous–heterogeneous reactions in the colloidal investigation of Casson fluid
- High-speed mid-infrared Mach–Zehnder electro-optical modulators in lithium niobate thin film on sapphire
- Numerical analysis of dengue transmission model using Caputo–Fabrizio fractional derivative
- Mononuclear nanofluids undergoing convective heating across a stretching sheet and undergoing MHD flow in three dimensions: Potential industrial applications
- Heat transfer characteristics of cobalt ferrite nanoparticles scattered in sodium alginate-based non-Newtonian nanofluid over a stretching/shrinking horizontal plane surface
- The electrically conducting water-based nanofluid flow containing titanium and aluminum alloys over a rotating disk surface with nonlinear thermal radiation: A numerical analysis
- Growth, characterization, and anti-bacterial activity of l-methionine supplemented with sulphamic acid single crystals
- A numerical analysis of the blood-based Casson hybrid nanofluid flow past a convectively heated surface embedded in a porous medium
- Optoelectronic–thermomagnetic effect of a microelongated non-local rotating semiconductor heated by pulsed laser with varying thermal conductivity
- Thermal proficiency of magnetized and radiative cross-ternary hybrid nanofluid flow induced by a vertical cylinder
- Enhanced heat transfer and fluid motion in 3D nanofluid with anisotropic slip and magnetic field
- Numerical analysis of thermophoretic particle deposition on 3D Casson nanofluid: Artificial neural networks-based Levenberg–Marquardt algorithm
- Analyzing fuzzy fractional Degasperis–Procesi and Camassa–Holm equations with the Atangana–Baleanu operator
- Bayesian estimation of equipment reliability with normal-type life distribution based on multiple batch tests
- Chaotic control problem of BEC system based on Hartree–Fock mean field theory
- Optimized framework numerical solution for swirling hybrid nanofluid flow with silver/gold nanoparticles on a stretching cylinder with heat source/sink and reactive agents
- Stability analysis and numerical results for some schemes discretising 2D nonconstant coefficient advection–diffusion equations
- Convective flow of a magnetohydrodynamic second-grade fluid past a stretching surface with Cattaneo–Christov heat and mass flux model
- Analysis of the heat transfer enhancement in water-based micropolar hybrid nanofluid flow over a vertical flat surface
- Microscopic seepage simulation of gas and water in shale pores and slits based on VOF
- Model of conversion of flow from confined to unconfined aquifers with stochastic approach
- Study of fractional variable-order lymphatic filariasis infection model
- Soliton, quasi-soliton, and their interaction solutions of a nonlinear (2 + 1)-dimensional ZK–mZK–BBM equation for gravity waves
- Application of conserved quantities using the formal Lagrangian of a nonlinear integro partial differential equation through optimal system of one-dimensional subalgebras in physics and engineering
- Nonlinear fractional-order differential equations: New closed-form traveling-wave solutions
- Sixth-kind Chebyshev polynomials technique to numerically treat the dissipative viscoelastic fluid flow in the rheology of Cattaneo–Christov model
- Some transforms, Riemann–Liouville fractional operators, and applications of newly extended M–L (p, s, k) function
- Magnetohydrodynamic water-based hybrid nanofluid flow comprising diamond and copper nanoparticles on a stretching sheet with slips constraints
- Super-resolution reconstruction method of the optical synthetic aperture image using generative adversarial network
- A two-stage framework for predicting the remaining useful life of bearings
- Influence of variable fluid properties on mixed convective Darcy–Forchheimer flow relation over a surface with Soret and Dufour spectacle
- Inclined surface mixed convection flow of viscous fluid with porous medium and Soret effects
- Exact solutions to vorticity of the fractional nonuniform Poiseuille flows
- In silico modified UV spectrophotometric approaches to resolve overlapped spectra for quality control of rosuvastatin and teneligliptin formulation
- Numerical simulations for fractional Hirota–Satsuma coupled Korteweg–de Vries systems
- Substituent effect on the electronic and optical properties of newly designed pyrrole derivatives using density functional theory
- A comparative analysis of shielding effectiveness in glass and concrete containers
- Numerical analysis of the MHD Williamson nanofluid flow over a nonlinear stretching sheet through a Darcy porous medium: Modeling and simulation
- Analytical and numerical investigation for viscoelastic fluid with heat transfer analysis during rollover-web coating phenomena
- Influence of variable viscosity on existing sheet thickness in the calendering of non-isothermal viscoelastic materials
- Analysis of nonlinear fractional-order Fisher equation using two reliable techniques
- Comparison of plan quality and robustness using VMAT and IMRT for breast cancer
- Radiative nanofluid flow over a slender stretching Riga plate under the impact of exponential heat source/sink
- Numerical investigation of acoustic streaming vortices in cylindrical tube arrays
- Numerical study of blood-based MHD tangent hyperbolic hybrid nanofluid flow over a permeable stretching sheet with variable thermal conductivity and cross-diffusion
- Fractional view analytical analysis of generalized regularized long wave equation
- Dynamic simulation of non-Newtonian boundary layer flow: An enhanced exponential time integrator approach with spatially and temporally variable heat sources
- Inclined magnetized infinite shear rate viscosity of non-Newtonian tetra hybrid nanofluid in stenosed artery with non-uniform heat sink/source
- Estimation of monotone α-quantile of past lifetime function with application
- Numerical simulation for the slip impacts on the radiative nanofluid flow over a stretched surface with nonuniform heat generation and viscous dissipation
- Study of fractional telegraph equation via Shehu homotopy perturbation method
- An investigation into the impact of thermal radiation and chemical reactions on the flow through porous media of a Casson hybrid nanofluid including unstable mixed convection with stretched sheet in the presence of thermophoresis and Brownian motion
- Establishing breather and N-soliton solutions for conformable Klein–Gordon equation
- An electro-optic half subtractor from a silicon-based hybrid surface plasmon polariton waveguide
- CFD analysis of particle shape and Reynolds number on heat transfer characteristics of nanofluid in heated tube
- Abundant exact traveling wave solutions and modulation instability analysis to the generalized Hirota–Satsuma–Ito equation
- A short report on a probability-based interpretation of quantum mechanics
- Study on cavitation and pulsation characteristics of a novel rotor-radial groove hydrodynamic cavitation reactor
- Optimizing heat transport in a permeable cavity with an isothermal solid block: Influence of nanoparticles volume fraction and wall velocity ratio
- Linear instability of the vertical throughflow in a porous layer saturated by a power-law fluid with variable gravity effect
- Thermal analysis of generalized Cattaneo–Christov theories in Burgers nanofluid in the presence of thermo-diffusion effects and variable thermal conductivity
- A new benchmark for camouflaged object detection: RGB-D camouflaged object detection dataset
- Effect of electron temperature and concentration on production of hydroxyl radical and nitric oxide in atmospheric pressure low-temperature helium plasma jet: Swarm analysis and global model investigation
- Double diffusion convection of Maxwell–Cattaneo fluids in a vertical slot
- Thermal analysis of extended surfaces using deep neural networks
- Steady-state thermodynamic process in multilayered heterogeneous cylinder
- Multiresponse optimisation and process capability analysis of chemical vapour jet machining for the acrylonitrile butadiene styrene polymer: Unveiling the morphology
- Modeling monkeypox virus transmission: Stability analysis and comparison of analytical techniques
- Fourier spectral method for the fractional-in-space coupled Whitham–Broer–Kaup equations on unbounded domain
- The chaotic behavior and traveling wave solutions of the conformable extended Korteweg–de-Vries model
- Research on optimization of combustor liner structure based on arc-shaped slot hole
- Construction of M-shaped solitons for a modified regularized long-wave equation via Hirota's bilinear method
- Effectiveness of microwave ablation using two simultaneous antennas for liver malignancy treatment
- Discussion on optical solitons, sensitivity and qualitative analysis to a fractional model of ion sound and Langmuir waves with Atangana Baleanu derivatives
- Reliability of two-dimensional steady magnetized Jeffery fluid over shrinking sheet with chemical effect
- Generalized model of thermoelasticity associated with fractional time-derivative operators and its applications to non-simple elastic materials
- Migration of two rigid spheres translating within an infinite couple stress fluid under the impact of magnetic field
- A comparative investigation of neutron and gamma radiation interaction properties of zircaloy-2 and zircaloy-4 with consideration of mechanical properties
- New optical stochastic solutions for the Schrödinger equation with multiplicative Wiener process/random variable coefficients using two different methods
- Physical aspects of quantile residual lifetime sequence
- Synthesis, structure, I–V characteristics, and optical properties of chromium oxide thin films for optoelectronic applications
- Smart mathematically filtered UV spectroscopic methods for quality assurance of rosuvastatin and valsartan from formulation
- A novel investigation into time-fractional multi-dimensional Navier–Stokes equations within Aboodh transform
- Homotopic dynamic solution of hydrodynamic nonlinear natural convection containing superhydrophobicity and isothermally heated parallel plate with hybrid nanoparticles
- A novel tetra hybrid bio-nanofluid model with stenosed artery
- Propagation of traveling wave solution of the strain wave equation in microcrystalline materials
- Innovative analysis to the time-fractional q-deformed tanh-Gordon equation via modified double Laplace transform method
- A new investigation of the extended Sakovich equation for abundant soliton solution in industrial engineering via two efficient techniques
- New soliton solutions of the conformable time fractional Drinfel'd–Sokolov–Wilson equation based on the complete discriminant system method
- Irradiation of hydrophilic acrylic intraocular lenses by a 365 nm UV lamp
- Inflation and the principle of equivalence
- The use of a supercontinuum light source for the characterization of passive fiber optic components
- Optical solitons to the fractional Kundu–Mukherjee–Naskar equation with time-dependent coefficients
- A promising photocathode for green hydrogen generation from sanitation water without external sacrificing agent: silver-silver oxide/poly(1H-pyrrole) dendritic nanocomposite seeded on poly-1H pyrrole film
- Photon balance in the fiber laser model
- Propagation of optical spatial solitons in nematic liquid crystals with quadruple power law of nonlinearity appears in fluid mechanics
- Theoretical investigation and sensitivity analysis of non-Newtonian fluid during roll coating process by response surface methodology
- Utilizing slip conditions on transport phenomena of heat energy with dust and tiny nanoparticles over a wedge
- Bismuthyl chloride/poly(m-toluidine) nanocomposite seeded on poly-1H pyrrole: Photocathode for green hydrogen generation
- Infrared thermography based fault diagnosis of diesel engines using convolutional neural network and image enhancement
- On some solitary wave solutions of the Estevez--Mansfield--Clarkson equation with conformable fractional derivatives in time
- Impact of permeability and fluid parameters in couple stress media on rotating eccentric spheres
- Review Article
- Transformer-based intelligent fault diagnosis methods of mechanical equipment: A survey
- Special Issue on Predicting pattern alterations in nature - Part II
- A comparative study of Bagley–Torvik equation under nonsingular kernel derivatives using Weeks method
- On the existence and numerical simulation of Cholera epidemic model
- Numerical solutions of generalized Atangana–Baleanu time-fractional FitzHugh–Nagumo equation using cubic B-spline functions
- Dynamic properties of the multimalware attacks in wireless sensor networks: Fractional derivative analysis of wireless sensor networks
- Prediction of COVID-19 spread with models in different patterns: A case study of Russia
- Study of chronic myeloid leukemia with T-cell under fractal-fractional order model
- Accumulation process in the environment for a generalized mass transport system
- Analysis of a generalized proportional fractional stochastic differential equation incorporating Carathéodory's approximation and applications
- Special Issue on Nanomaterial utilization and structural optimization - Part II
- Numerical study on flow and heat transfer performance of a spiral-wound heat exchanger for natural gas
- Study of ultrasonic influence on heat transfer and resistance performance of round tube with twisted belt
- Numerical study on bionic airfoil fins used in printed circuit plate heat exchanger
- Improving heat transfer efficiency via optimization and sensitivity assessment in hybrid nanofluid flow with variable magnetism using the Yamada–Ota model
- Special Issue on Nanofluids: Synthesis, Characterization, and Applications
- Exact solutions of a class of generalized nanofluidic models
- Stability enhancement of Al2O3, ZnO, and TiO2 binary nanofluids for heat transfer applications
- Thermal transport energy performance on tangent hyperbolic hybrid nanofluids and their implementation in concentrated solar aircraft wings
- Studying nonlinear vibration analysis of nanoelectro-mechanical resonators via analytical computational method
- Numerical analysis of non-linear radiative Casson fluids containing CNTs having length and radius over permeable moving plate
- Two-phase numerical simulation of thermal and solutal transport exploration of a non-Newtonian nanomaterial flow past a stretching surface with chemical reaction
- Natural convection and flow patterns of Cu–water nanofluids in hexagonal cavity: A novel thermal case study
- Solitonic solutions and study of nonlinear wave dynamics in a Murnaghan hyperelastic circular pipe
- Comparative study of couple stress fluid flow using OHAM and NIM
- Utilization of OHAM to investigate entropy generation with a temperature-dependent thermal conductivity model in hybrid nanofluid using the radiation phenomenon
- Slip effects on magnetized radiatively hybridized ferrofluid flow with acute magnetic force over shrinking/stretching surface
- Significance of 3D rectangular closed domain filled with charged particles and nanoparticles engaging finite element methodology
- Robustness and dynamical features of fractional difference spacecraft model with Mittag–Leffler stability
- Characterizing magnetohydrodynamic effects on developed nanofluid flow in an obstructed vertical duct under constant pressure gradient
- Study on dynamic and static tensile and puncture-resistant mechanical properties of impregnated STF multi-dimensional structure Kevlar fiber reinforced composites
- Thermosolutal Marangoni convective flow of MHD tangent hyperbolic hybrid nanofluids with elastic deformation and heat source
- Investigation of convective heat transport in a Carreau hybrid nanofluid between two stretchable rotatory disks
- Single-channel cooling system design by using perforated porous insert and modeling with POD for double conductive panel
- Special Issue on Fundamental Physics from Atoms to Cosmos - Part I
- Pulsed excitation of a quantum oscillator: A model accounting for damping
- Review of recent analytical advances in the spectroscopy of hydrogenic lines in plasmas
- Heavy mesons mass spectroscopy under a spin-dependent Cornell potential within the framework of the spinless Salpeter equation
- Coherent manipulation of bright and dark solitons of reflection and transmission pulses through sodium atomic medium
- Effect of the gravitational field strength on the rate of chemical reactions
- The kinetic relativity theory – hiding in plain sight
- Special Issue on Advanced Energy Materials - Part III
- Eco-friendly graphitic carbon nitride–poly(1H pyrrole) nanocomposite: A photocathode for green hydrogen production, paving the way for commercial applications