Fluid dynamics of transportation of viscoelastic fluids through inclined circular cylindrical tubes and its application in biological systems
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Vijay K. Shukla
Abstract
In this paper, a model is proposed to calculate the impact of peristaltic transport of viscoelastic natural fluids through the oesophagus. A Maxwell model for viscoelastic fluid is considered in ongoing investigations of the transportation of such fluid. Dairy cream, cheese, and marshmallow cream are a few examples of viscoelastic fluids. The long wavelength and low Reynolds-number concept is used to achieve the desired results. This supposition minimizes the curvature effect of the wall and attains terminologies for radial and the axial velocities with pressure. The special effects of the dilation parameter, inclination angle, Froude number, and Reynolds number on the pumping region of fluid transport have been analyzed and are represented by appropriate graphs. It is established that pressure increases with enhancement of the angle of inclination and amplitude-dilation parameter, while pressure decreases when the Froude number increases.
Abstract
In this paper, a model is proposed to calculate the impact of peristaltic transport of viscoelastic natural fluids through the oesophagus. A Maxwell model for viscoelastic fluid is considered in ongoing investigations of the transportation of such fluid. Dairy cream, cheese, and marshmallow cream are a few examples of viscoelastic fluids. The long wavelength and low Reynolds-number concept is used to achieve the desired results. This supposition minimizes the curvature effect of the wall and attains terminologies for radial and the axial velocities with pressure. The special effects of the dilation parameter, inclination angle, Froude number, and Reynolds number on the pumping region of fluid transport have been analyzed and are represented by appropriate graphs. It is established that pressure increases with enhancement of the angle of inclination and amplitude-dilation parameter, while pressure decreases when the Froude number increases.
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- Love wave propagation in layered piezoelectric structures for sensor-based applications 1
- A safe-ML model for assessing head loss in a subject-specific human femoral arterial network 11
- Fluid dynamics of transportation of viscoelastic fluids through inclined circular cylindrical tubes and its application in biological systems 31
- Numerical computation of Crane-type MHD Casson (blood type) stagnation point fluid flow past a stretching sheet 45
- Bioconvective MHD Casson fluid flow with motile microorganisms on a moving flat plate embedded in a porous medium 59
- Stability analysis of convection in rotating fluid layers with triple diffusion 73
- Groundwater contamination in heterogeneous semi-infinite aquifers for 1-D flow 85
- Convection in the boundary layer with uniform heat flux from a rectangular cavity’s side walls enclosed by porous lining 99
- Natural convection in a rectangular cavity bounded by porous lining 113
- Analysis of delayed mosquito life-cycle model 127
- Reflection and transmission of plane waves between two initially stressed rotating nonlocal orthotropic microstretch thermoelastic half-spaces with imperfect interface 137
- Nonlocal thermoelasticity of Klein–Gordon type: constitutive modelling in a piezoelectric microbeam resonator with memory effect 159
- Mathematical perspectives on biomechanical signal processing 179
- Numerical simulation of thermal performance in a hybrid nanofluid filled chamber with a heat producing element 221
- Non-Darcian flow of bioconvective viscoelastic fluid in a convectively heated elongating surface with variable heat source and energy activation 239
- Finite element analysis of biological systems 255
- Numerical analysis of free convective heat-transfer characteristics of a non-Newtonian (Casson) fluid in a heated permeable cavity under the effects of thermal radiation 279
- Graph-theoretical insights into resting-state EEG: a mathematical approach to psychiatric disorder analysis 289
- Index 317
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- Love wave propagation in layered piezoelectric structures for sensor-based applications 1
- A safe-ML model for assessing head loss in a subject-specific human femoral arterial network 11
- Fluid dynamics of transportation of viscoelastic fluids through inclined circular cylindrical tubes and its application in biological systems 31
- Numerical computation of Crane-type MHD Casson (blood type) stagnation point fluid flow past a stretching sheet 45
- Bioconvective MHD Casson fluid flow with motile microorganisms on a moving flat plate embedded in a porous medium 59
- Stability analysis of convection in rotating fluid layers with triple diffusion 73
- Groundwater contamination in heterogeneous semi-infinite aquifers for 1-D flow 85
- Convection in the boundary layer with uniform heat flux from a rectangular cavity’s side walls enclosed by porous lining 99
- Natural convection in a rectangular cavity bounded by porous lining 113
- Analysis of delayed mosquito life-cycle model 127
- Reflection and transmission of plane waves between two initially stressed rotating nonlocal orthotropic microstretch thermoelastic half-spaces with imperfect interface 137
- Nonlocal thermoelasticity of Klein–Gordon type: constitutive modelling in a piezoelectric microbeam resonator with memory effect 159
- Mathematical perspectives on biomechanical signal processing 179
- Numerical simulation of thermal performance in a hybrid nanofluid filled chamber with a heat producing element 221
- Non-Darcian flow of bioconvective viscoelastic fluid in a convectively heated elongating surface with variable heat source and energy activation 239
- Finite element analysis of biological systems 255
- Numerical analysis of free convective heat-transfer characteristics of a non-Newtonian (Casson) fluid in a heated permeable cavity under the effects of thermal radiation 279
- Graph-theoretical insights into resting-state EEG: a mathematical approach to psychiatric disorder analysis 289
- Index 317
