Effects of Heat and Mass Transfer on MHD Peristaltic Flow of a Non-Newtonian Fluid through a Porous Medium between Two Coaxial Cylinders

Shaaban, Abeer A.; Abou-zeid, Mohamed Y.

doi:10.1155/2013/819683

Cited by 21 publications

(10 citation statements)

References 24 publications

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“…Madhu et al discussed numerically the MHD mixed convection boundary layer flow of heat and mass transfer stagnation‐point flow of a non‐Newtonian power‐law nanofluid toward a stretching surface in the presence of thermal radiation. The influence of heat and mass transfer on the peristaltic flow of MHD Eyring‐Powell fluid under low Reynolds number was investigated by Shaaban et al Kishan et al studied the MHD effects of non‐Newtonian power‐law fluid flow past a continuously moving flat porous plate with heat flux and viscous dissipation in the presence of suction/injection. Abou‐zeid discussed the MHD boundary layer heat transfer to a stretching sheet in the presence of viscous dissipation and internal heat generation in a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Thermal diffusion and diffusion thermo effects of Eyring‐Powell nanofluid flow with gyrotactic microorganisms through the boundary layer

Eldabe

Rizkalla

Abou-zeid

2019

Heat Trans. Asian Res.

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In this article, the effects of thermal diffusion and diffusion thermo on the motion of a non-Newtonian Eyring Powell nanofluid with gyrotactic microorganisms in the boundary layer are investigated. The system is stressed with a uniform external magnetic field. The problem is modulated mathematically by a system of a nonlinear partial differential equation, which governs the equations of motion, temperature, the concentration of solute, nanoparticles, and microorganisms. This system is converted to nonlinear ordinary differential equations by using suitable similarity transformations with the appropriate boundary conditions. These equations are solved numerically by using the Rung-Kutta-Merson method with a shooting technique.The velocity, temperature, concentration of solute, nanoparticles, and microorganisms are obtained as functions of the physical parameters of the problem.The effects of these parameters on these solutions are discussed numerically and illustrated graphically through figures. It is found that the velocity decreases with the increase in the non-Newtonian parameter and the magnetic field, whereas, the velocity increases with a rise in thermophoresis and Brownian motion. Also, the temperature increases with an increase in the non-Newtonian parameter, magnetic field, thermophoresis, and Brownian motion. These parameters play an important role and help in understanding the mechanics of complicated physiological flows. K E Y W O R D SEyring-Powell model, microorganisms, nanofluid, Soret and Dufour effects

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Section: Introductionmentioning

confidence: 99%

Thermal diffusion and diffusion thermo effects of Eyring‐Powell nanofluid flow with gyrotactic microorganisms through the boundary layer

Eldabe

Rizkalla

Abou-zeid

2019

Heat Trans. Asian Res.

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“…Over the period of years, there has been rational progress in the investigations of Powell-Eyring fluids. Since the inception of this concept in 1944 (Powell and Eyring 1944), the intensity of drawing advantages of Powell-Eyring fluids is observed to have an overarching effect ranging from pressure distribution (Yürüsoy, 2003) to overcome slider bearing problem (Islam et al, 2009), and from peristaltic transfer of heat and mass (Shaaban and Abou-Zeid, 2013) to proposing solutions for flow effect encountering magnetic field effects (Akbar et al, 2015) and from moving surface (Hayat et al, 2012) to stretching surface (Hayat et al, 2017b). The impact of thermo diffusion and thermal radiation on Williamson nanofluid moving on a porous sheet was investigated by .…”

Section: Introductionmentioning

confidence: 99%

MHD biconvective flow of Powell Eyring nanofluid over stretched surface

et al. 2017

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The present work is focused on behavioral characteristics of gyrotactic microorganisms to describe their role in heat and mass transfer in the presence of magnetohydrodynamic (MHD) forces in Powell-Eyring nanofluids. Implications concerning stretching sheet with respect to velocity, temperature, nanoparticle concentration and motile microorganism density were explored to highlight influential parameters. Aim of utilizing microorganisms was primarily to stabilize the nanoparticle suspension due to bioconvection generated by the combined effects of buoyancy forces and magnetic field. Influence of Newtonian heating was also analyzed by taking into account thermophoretic mechanism and Brownian motion effects to insinuate series solutions mediated by homotopy analysis method (HAM). Mathematical model captured the boundary layer regime that explicitly involved contemporary non linear partial differential equations converted into the ordinary differential equations. To depict nanofluid flow characteristics, pertinent parameters namely bioconvection Lewis number Lb, traditional Lewis number Le, bioconvection Péclet number Pe, buoyancy ratio parameter Nr, bioconvection Rayleigh number Rb, thermophoresis parameter Nt, Hartmann number M, Grashof number Gr, and Eckert number Ec were computed and analyzed. Results revealed evidence of hydromagnetic bioconvection for microorganism which was represented by graphs and tables. Our findings further show a significant effect of Newtonian heating over a stretching plate by examining the coefficient values of skin friction, local Nusselt number and the local density number. Comparison was made between Newtonian fluid and Powell-Eyring fluid on velocity field and temperature field. Results are compared of with contemporary studies and our findings are found in excellent agreement with these studies.

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“…The objective of this work is to investigate the numerical solution by using Explicit Finite Difference method [21] for the system of non-linear differential equations which arises from the two-dimensional flow of a magneto-hydrodynamic third-order Nano-fluid with heat and mass transfer in a circular cylindrical tube having two walls that are transversely displaced by an infinite, harmonic traveling wave of large wave length.We obtained the distributions of the stream function, the velocity, the temperature, the concentration, and the Nanoparticles. Numerical results are found for different values of various non-dimensional parameters.…”

Section: Introductionmentioning

confidence: 99%

Peristaltic Transport of a Third-Order Nano-Fluid in a Circular Cylindrical Tube with Radiation and Chemical Reaction

2017

International Journal of Scientific and Innovative Mathematical

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Effects of Heat and Mass Transfer on MHD Peristaltic Flow of a Non-Newtonian Fluid through a Porous Medium between Two Coaxial Cylinders

Cited by 21 publications

References 24 publications

Thermal diffusion and diffusion thermo effects of Eyring‐Powell nanofluid flow with gyrotactic microorganisms through the boundary layer

Thermal diffusion and diffusion thermo effects of Eyring‐Powell nanofluid flow with gyrotactic microorganisms through the boundary layer

MHD biconvective flow of Powell Eyring nanofluid over stretched surface

Peristaltic Transport of a Third-Order Nano-Fluid in a Circular Cylindrical Tube with Radiation and Chemical Reaction

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