Electro-osmotic flow of power-law fluid and heat transfer in a micro-channel with effects of Joule heating and thermal radiation

2016 ◽  
Vol 462 ◽  
pp. 1040-1057 ◽  
Author(s):  
G.C. Shit ◽  
A. Mondal ◽  
A. Sinha ◽  
P.K. Kundu
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Power Law ◽  
Joule Heating ◽  
Micro Channel ◽  
Power Law Fluid ◽  
Osmotic Flow ◽  
Electro Osmotic Flow

scholarly journals Heat Transfer due to Magnetohydrodynamic Stagnation-Point Flow of a Power-Law Fluid towards a Stretching Surface in the Presence of Thermal Radiation and Suction/Injection

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Tapas Ray Mahapatra ◽  
Sabyasachi Mondal ◽  
Dulal Pal
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Stagnation Point ◽  
Power Law ◽  
Free Stream ◽  
Free Stream Velocity ◽  
Stagnation Point Flow ◽  
Stream Velocity ◽  
Stretching Surface ◽  
Power Law Fluid

An analysis is made on the study of two-dimensional MHD (magnetohydrodynamic) boundary-layer stagnation-point flow of an electrically conducting power-law fluid over a stretching surface when the surface is stretched in its own plane with a velocity proportional to the distance from the stagnation-point in the presence of thermal radiation and suction/injection. The paper examines heat transfer in the stagnation-point flow of a power-law fluid except when the ratio of the free stream velocity and stretching velocity is equal to unity. The governing partial differential equations along with the boundary conditions are first brought into a dimensionless form and then the equations are solved by Runge-Kutta fourth-order scheme with shooting techniques. It is found that the temperature at a point decreases/increases with increase in the magnetic field when free stream velocity is greater/less than the stretching velocity. It is further observed that for a given value of the magnetic parameter M, the dimensionless rate of heat transfer at the surface and |θ′(0)| decreases/increases with increase in the power-law index n. Further, the temperature at a point in the fluid decreases with increase in the radiation parameter NR when free stream velocity is greater/less than the stretching velocity.

scholarly journals Magnetic Field Effects on Chemical Reaction of Power-Law Fluid over an Axisymmetric Stretched Sheet

2019 ◽  
Vol 5 (4) ◽  
pp. 57
Author(s):  
Abdollahzadeh Jamalabadi
Keyword(s):  
Magnetic Field ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Power Law ◽  
Joule Heating ◽  
Parameter Study ◽  
Viscous Heating ◽  
Reaction Parameter ◽  
Power Law Fluid ◽  
Chemical Reaction Parameter

Numerical investigation of the effects of magnetic field strength, thermal radiation, Joule heating, and viscous heating on a forced convective flow of a non-Newtonian, incompressible power-law fluid in an axisymmetric stretching sheet with variable temperature wall is accomplished. The power-law shear-thinning viscosity-shear rate model for the anisotropic solutions and the Rosseland approximation for the thermal radiation through a highly absorbing medium is considered. The temperature-dependent heat sources, Joule heating, and viscous heating are considered to be the source terms in the energy balance. The non-dimensional boundary-layer equations are solved numerically in terms of similarity variable. A parameter study on the boundary value of chemical reaction and Nusselt number is performed as a function of thermal radiation parameter, Brinkman number, Prandtl number, Hartmann number, power-law index, heat source coefficient, Brownian parameter, thermophoresis parameter, and the chemical reaction parameter. The results show that the chemical reaction parameter has an increasing effect on the chemical reaction boundary while the magnetic, thermophoresis, and Brownian effects decrease the rate of the chemical reaction at the boundary.

Viscous dissipation and joule heating effects on forced convection power law fluid flow through annular duct

2021 ◽  
pp. 095440622199118
Author(s):  
Farhan Ahmed ◽  
Mazhar Iqbal ◽  
Noreen Sher Akbar
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Forced Convection ◽  
Viscous Dissipation ◽  
Power Law ◽  
Joule Heating ◽  
Magnetic Field Effect ◽  
Power Law Fluid ◽  
Annular Duct ◽  
Flow Through

Here we numerically analyse the effects of viscous dissipation and Joule heating on forced convection heat transfer rate of electrically conducting magnetohydrodynamic, ( MHD) power law fluid flow through annular duct. Mathematical model is formulated for constant properties power law fluid with steady, incompressible and laminar fully developed flow assumptions. Heat transfer results are determined by taking constant heat flux with peripheral wall temperature “known as H1 thermal boundary condition” at the solid walls of the channel. It has been observed that the effect of viscous dissipation reduces due to enhance damping magnetic field effect by increasing the value of Hartman number, Ha, especially in the case of shear thickening fluids.

Effect of Slip Velocity on the Rotating Electro-Osmotic Flow of the Power-Law Fluid in a Slowly Varying Microchannel

2018 ◽  
Vol 73 (9) ◽  
pp. 825-831 ◽  
Author(s):  
Shaowei Wang ◽  
Ning Li ◽  
Moli Zhao ◽  
Martin N. Azese
Keyword(s):  
Power Law ◽  
Slip Velocity ◽  
Slip Parameter ◽  
Power Law Fluid ◽  
Osmotic Flow ◽  
Fluid Behavior ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation ◽  
Electro Osmotic Flow ◽  
Behavior Index

AbstractIn this paper, the effect of slip velocity on the rotating electro-osmotic flow (EOF) of the power-law fluid in a non-uniform microchannel under high zeta potential is investigated. The potential distribution of the electric double layer is obtained by using the nonlinear Poisson-Boltzmann equation. By using the finite difference method, the numerical solution of the rotating EOF velocity profile is obtained. The effectiveness and correctness of the present numerical method is proven by comparing the results with the analytical solutions of the Newtonian fluid given by a previous study. The influences of the fluid behavior indexnand the slip parameterβon the velocity profiles are also discussed in detail.

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