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Heat and mass transfer enhancement for MHD nanofluid coupled to elastic interface

  • Shengna Liu EMAIL logo , Kheder Suleiman ORCID logo , Erhui Wang ORCID logo and Liancun Zheng
Published/Copyright: June 5, 2025
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 80 Issue 8

Abstract

This study examines the heat and mass transfer enhancement in MHD nanofluid flow coupled with elastic interface dynamics. The research numerically simulates the combined effects of nonuniform magnetic fields, chemical reactions, stretching velocity ratio, thermal radiation, and heat sink on nanofluid behavior over an elastic surface with convective boundary conditions. Key findings include (i) increased magnetic field strength reduces velocity and concentration while raising temperature near the wall; (ii) radiation, thermophoresis, chemical reaction, heat sink, and convection parameters enhance temperature; (iii) the impact of radiation and heat sink on concentration is significant and influenced by thermophoresis, with opposite trends near and far from the wall; (iv) convective heat transfer is enhanced by stretching velocity ratio, radiation, and convection but weakened by chemical reaction and heat sink; (v) convective mass transfer is augmented by stretching velocity ratio, radiation, heat sink, and chemical reaction but weakened by thermophoresis; and (vi) stretching velocity ratio, magnetic field, and variable viscosity parameters increase skin-friction coefficient.

Keywords: MHD nanofluid; elastic interface dynamics; heat and mass transfer; convective boundary
Corresponding author: Shengna Liu, School of Mathematics and Statistics, Henan University of Technology, Zhengzhou 450001, China, E-mail: 

Funding source: The Doctor Foundation of Henan University of Technology

Award Identifier / Grant number: No. 2024BS005

Acknowledgments

This work is supported by the Doctor Foundation of Henan University of Technology (No. 2024BS005).

  1. Research ethics: Not applicable.

  2. Informed consent: Informed consent was obtained from all individuals included in this study, or their legal guardians or wards.

  3. Author contributions: The writing and research of this article were mainly conducted by Dr. Shengna Liu. Dr. Kheder Suleiman and Dr. Erhui Wang revised the English writing of this article, and Professor Liancun Zheng conducted the final review of this study. All authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  4. Use of Large Language Models, AI and Machine Learning Tools: None declared.

  5. Conflict of interest: The authors state no conflict of interest.

  6. Research funding: This work is supported by the Doctor Foundation of Henan University of Technology (No. 2024BS005).

  7. Data availability: Not applicable.

Nomenclature

u

transverse velocity [m/s]

v

axial velocity [m/s]

x, y

transverse and axial coordinate, respectively [m]

μ

dynamic viscosity [Pa s]

ρ

density [kg/m3]

σ

electrical conductivity [S/m]

B

applied magnetic field [T]

T

temperature [K]

k

thermal conductivity [W/(m K)]

c

specific heat capacity [J/(kg K)]

C

nanoparticle concentration

D B

Brownian motion coefficient [m2/s]

D T

thermophoretic diffusion coefficient [m2/s]

q r

radiative heat flux [W]

Q 0

heat absorption coefficient [J/(s m3 K)]

K l

chemical reaction rate

σ*

Stefan–Boltzmann constant

k*

mean absorption coefficient

E

elastic modulus [Pa]

h

half-thickness of the elastic sheet [m]

U

stretching velocity [m/s]

N v

variable viscosity parameter

N c

variable thermal conductivity parameter

g

dimensionless function

h f

heat transfer coefficient

Bi

convective parameter

M

magnetic field parameter

Pr

Prandtl number

N b

Brownian motion parameter

N t

thermophoresis parameter

Nr

radiation parameter

Sc

Schmidt number

χ

chemical reaction parameter

Q

heat sink parameter

Nu x

local Nusselt number

Sh x

local Sherwood number

Cf x

local skin-friction coefficient

Subscripts

nf

nanofluids

∞

value at infinity

w

value on the surface of the elastic sheet

p

nanoparticles

bf

base fluid

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Received: 2024-09-15
Accepted: 2025-05-19
Published Online: 2025-06-05
Published in Print: 2025-08-26

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/zna-2024-0205
Keywords for this article
MHD nanofluid; elastic interface dynamics; heat and mass transfer; convective boundary

Articles in the same Issue

  1. Frontmatter
  2. Atomic, Molecular & Optical Physics
  3. Artificial intelligence assisted photonic bio sensing for rapid bacterial diseases
  4. A compact analytical solution of the Dicke superradiance master equation via residue calculus
  5. Chemical Physics
  6. Extremal linear triangular chains with respect to the Kirchhoff index
  7. Hydrodynamics & Plasma Physics
  8. Heat and mass transfer enhancement for MHD nanofluid coupled to elastic interface
  9. Effect of Combined Kappa–Cairns distributed electrons on ion-acoustic solitary structures in electron–ion dusty plasma
  10. The solitary periodic soliton and formation of shock with phase shift in multi-component unmagnetized dusty plasmas
  11. Study of propagation dynamics of intense Laguerre–Gaussian laser beam in preformed plasma channel created by ignitor–heater method
  12. Solid State Physics & Materials Science
  13. Effects of substrate bias on the properties of TiCrN films deposited on 316L by RF magnetron sputtering
  14. Generalized Debye scattering formula for strained amorphous materials
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