scholarly journals Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity

AIP Advances ◽  
2015 ◽  
Vol 5 (8) ◽  
pp. 087108 ◽  
Author(s):  
T. Hayat ◽  
Anum Shafiq ◽  
A. Alsaedi ◽  
S. Asghar
Keyword(s):  
Magnetic Field ◽  
Thermal Conductivity ◽  
Variable Thermal Conductivity ◽  
Third Grade ◽  
Inclined Magnetic Field ◽  
Third Grade Fluid ◽  
Grade Fluid

scholarly journals Analysis of Electro-MHD of Third Grade Fuid Flow Through Porous Channel

2020 ◽  
Vol 13 (5) ◽  
pp. 1270-1284
Author(s):  
Sukanya Padhi ◽  
Itishree Nayak
Keyword(s):  
Magnetic Field ◽  
Nonlinear Partial Differential Equation ◽  
Mhd Flow ◽  
Elastic Parameter ◽  
Third Grade ◽  
Porous Channel ◽  
Third Grade Fluid ◽  
Fully Implicit ◽  
Contrasting Effect ◽  
Grade Fluid

This paper examines the Electro-MHD flow and heat transfer of a third grade fluid passing through a porous channel. An unidirectional and one-dimensional flow is propelled with the aid of lorentz force generated due to interaction of vertically applied magnetic field along with horizontally applied electric field. The equations of momentum and energy governing the third grade fluid flow are transformed to algebraic equation from nonlinear partial differential equation by implementing fully implicit finite difference scheme and solution is obtained by damped-Newton method. Lastly, the problem is simulated using MATLAB and the influence on velocity and temperature profiles with variation of non-dimensional parameters are depicted graphically. The noteworthy findings of this study is that the increasing values of elastic parameter α and non-Newtonian parameter γ diminishes the flow velocity and results in enhancement of temperature profile. A completely contrasting effect is observed for increasing values of strength of electric and magnetic field.

scholarly journals Numerical Solution for Unsteady Acceleration MHD Third-Grade Fluid Flow in a Rotating Frame Through Porous Medium Over Semi-Infinite Boundary Condition with a Presence of Heat Transfer

2021 ◽  
Vol 87 (2) ◽  
pp. 90-105
Author(s):  
Shafaruniza Mahadi ◽  
Yeak Su Hoe ◽  
Norazam Arbin ◽  
Faisal Salah
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Boundary Condition ◽  
Porous Medium ◽  
Fluid Flow ◽  
Numerical Solution ◽  
Hybrid Method ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Grade Fluid

The aim of this work is to present a suitable numerical solution for unsteady non-Newtonian third-grade fluid which rotates at z -axis and pass through a porous medium. The fluid flows in magnetic field with constant acceleration and the semi-infinite boundary condition are highlighted. The fluid problem is also deal with heat transfer. The nonlinear partial differential equation is discretised using the finite difference method (FDM). The linear system obtained for three different domains (lengths). Consequently, the asymptotic interpolation method is merged to solve problems of large sizes. This hybrid method yielded results that satisfied the boundary condition that reaches zero as length grows to infinite length. For velocity profile and temperature distribution, a comparison of FDM and hybrid method is shown. It is discovered that the hybrid method produces better results than FDM for this infinitely large problem. Several analyses have been carried out to investigate the effect of various fluid parameter values. The findings reveal that as the porosity parameter increases, the velocity decreases. The Grashof and Prandtl numbers demonstrate the relationship to the temperature distributions. The effects of the magnetic field and the non-Newtonian parameters were also illustrated, as these parameters influence the velocity distribution of the fluid flow.

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