Analytical investigation of polar fluid flow with induced magnetic field in concentric annular region

Heat Transfer ◽  
2020 ◽  
Vol 49 (6) ◽  
pp. 3943-3957 ◽  
Author(s):  
Lipika Panigrahi ◽  
Jayaprakash Panda ◽  
Devendra Kumar ◽  
Sudhansu S. Sahoo
2021 ◽  
Vol 26 (1) ◽  
pp. 122-134
Author(s):  
P. Pramod Kumar ◽  
Bala Siddulu Malga ◽  
Lakshmi Appidi ◽  
Sweta Matta

AbstractThe principal objective of the present paper is to know the reaction of thermal radiation and the effects of magnetic fields on a viscous dissipative free convection fluid flow past an inclined infinite plate in the presence of an induced magnetic field. The Galerkin finite element technique is applied to solve the nonlinear coupled partial differential equations and effects of thermal radiation and other physical and flow parameters on velocity, induced magnetic field, along with temperature profiles are explained through graphs. It is noticed that as the thermal radiation increases velocity and temperature profiles decrease and the induced magnetic field profiles increases.


2020 ◽  
Vol 17 (1) ◽  
pp. 127-147 ◽  
Author(s):  
R. Meenakumari ◽  
P. Lakshminarayana ◽  
K. Vajravelu

PurposeThe aim of the present paper is to investigate the homogeneous and heterogeneous reactions on Prandtl fluid flow at a stretching sheet with an induced magnetic field and slip boundary conditions.Design/methodology/approachThe governing equations include the continuity, induced magnetic field, momentum, energy and homogeneous–heterogeneous equations. Initially, with suitable similarity variables, the governing partial differential equations and converted into a system of ordinary differential equations. Then, the nonlinear ordinary differential equations are solved by a shooting technique with the help of the BVC5C Matlab package.FindingsThe results of the present investigation are presented through graphs for different values of the various parameters. The authors observed that the large values of the stretching ratio and the induced magnetic parameters are moderate magnetic field, velocity and temperature primarily. Also, the authors found the more velocity and temperatures by boosting the slip parameters.Originality/valueIn addition, the values of the skin friction and the rate of heat transfer for various values of physical parameters are tabulated and deliberated in detail.


Fluids ◽  
2021 ◽  
Vol 6 (3) ◽  
pp. 126
Author(s):  
Md. Mohidul Haque

Heat and mass transfer due to a magneto micropolar fluid flow along a semi-infinite vertical plate bounded by a porous medium are investigated in presence of induced magnetic field. In case of cooling flow, heat and mass fluxes from the plate are subjected to be constant under the action of a constant heat sink. Mathematical model related to the problem is developed from the basis of studying magnetohydrodynamics (MHD) for both lighter and heavier particles. Dimensionless model of momentum, microrotation, induction, energy and concentration equations are solved simultaneously by the explicit scheme of finite difference technique. According to the obtained stability and convergence criteria of this transient flow, very negligible time step (Δt = 0.002) compared to the existing works has been taken to perform the numerical computation. Quantities of chief physical interest of the flow as shear stress, couple stress, current density, Nusselt number and Sherwood number are also studied here. The numerically computed results are compared with published results of available research works. Interestingly an excellent agreement is found with finite difference solutions in both explicit and implicit schemes. In order to discuss the physical aspects of the problem, the flow variables for different values of associated parameters are illustrated in graphs. Finally, important findings of the study are listed as concluding remarks.


2019 ◽  
Vol 24 (1) ◽  
pp. 5-36
Author(s):  
T. Ahmed ◽  
Md. M. Alam ◽  
M. Ferdows ◽  
E.E. Tzirtzilakis

Abstract Numerical studies have been performed to examine the chemically reacting ionized fluid flow through a vertical plate with induced magnetic field. This study is performed for the cooling problem. To obtain the nondimensional non-similar momentum, the induced magnetic field, energy and concentration equations, usual nondimensional variables have been used. The numerical solutions for the velocity fields, induced magnetic fields, temperature distribution as well as concentration distribution are obtained for associated parameters using the explicit finite difference method. The local and average shear stresses, current densities, Nusselt number as well as the Sherwood number are also investigated. The obtained results are discussed with the help of graphs to observe effects of various parameters entering into the problem. Also the stability conditions of the explicit finite difference method are analyzed. Finally, a qualitative comparison of the present results with previously published results has been made.


Sign in / Sign up

Export Citation Format

Share Document