scholarly journals Characteristical analysis of MHD heat and mass transfer dissipative and radiating fluid flow with magnetic field induction and suction

2021 ◽  
Vol 3 (4) ◽  
Author(s):  
Saykat Poddar ◽  
Muhammad Minarul Islam ◽  
Jannatul Ferdouse ◽  
Md. Mahmud Alam

AbstractThis study is conducted on the magneto-hydrodynamics (MHD) boundary layer (BL) heat and mass transfer flow of thermally radiating and dissipative fluid over an infinite plate of vertical orientation with the involvement of induced magnetic field and thermal diffusion. The fluid motion is controlled by uniform suction. The constant heat and mass fluxes at the boundary (plate) have been considered to establish the boundary conditions. The foremost prevailing equations are converted into non-linear dimensionless partial differential equations (PDEs) by applying usual transformations. An efficient explicit finite difference method (FDM) has been performed to reckon the solution of the system of non-linear coupled PDEs in a numerical manner. To ensure the converging nature of the solutions, close observation and heed have been given to stability and convergence schemes. The MATLAB R2015a and Studio Developer FORTRAN 6.6a have been employed for numerical simulation of the schematic model equations. To quest steady-state, an experiment is performed on time simultaneously an experiment on mesh size is ascertained to assure a suitable mesh space. Also, a code verification test has been performed. In addition to that, the computational depictions and discussions have been undertaken on the impacts of significant parametric values for the velocity field, induced magnetic field, temperature, and concentration along with current density and shear stress. The reported results for the present numerical schemes have been compared with published papers in tables and plots. The suction parameter tends to pull down the quantitative measurement of velocity, temperature, and concentration. The induced magnetic field is affected decreasingly by the rising estimation of the magnetic parameter.

2017 ◽  
Vol 14 (1) ◽  
pp. 321-329
Author(s):  
Abeer A Shaaban

Explicit finite-difference method was used to obtain the solution of the system of the non-linear ordinary differential equations which transform from the non-linear partial differential equations. These equations describe the steady magneto-hydrodynamic flow of an oldroyd 8-constant non-Newtonian nano-fluid through a non-Darcy porous medium with heat and mass transfer. The induced magnetic field was taken into our consideration. The numerical formula of the velocity, the induced magnetic field, the temperature, the concentration, and the nanoparticle concentration distributions of the problem were illustrated graphically. The effect of the material parameters (α1 α2), Darcy number Da, Forchheimer number Fs, Magnetic Pressure number RH, Magnetic Prandtl number Pm, Prandtl number Pr, Radiation parameter Rn, Dufour number Nd, Brownian motion parameter Nb, Thermophoresis parameter Nt, Heat generation Q, Lewis number Le, and Sort number Ld on those formula were discussed specially in the case of pure Coutte flow (U0 = 1, d <inline-formula> <mml:math display="block"> <mml:mrow> <mml:mover accent="true"> <mml:mi>P</mml:mi> <mml:mo stretchy="true">^</mml:mo> </mml:mover> </mml:mrow> </mml:math> </inline-formula> /dx = 0). Also, an estimation of the global error for the numerical values of the solutions is calculated by using Zadunaisky technique.


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.


2013 ◽  
Vol 68 (12) ◽  
pp. 751-758 ◽  
Author(s):  
Tasawar Hayat ◽  
Saima Noreen ◽  
Muhammad Qasim

In this paper, we discuss the effects of heat and mass transfer on the peristaltic flow in the presence of an induced magnetic field. Constitutive equations of a Phan-Thien-Tanner fluid are utilized in the mathematical description. Mathematical modelling is based upon the laws of mass, linear momentum, energy, and concentration. Relevant equations are simplified using long wavelength and low Reynolds number assumptions. A series solution is presented for small Weissenberg number. Variations of emerging parameters embedded in the flow system are discussed.


2012 ◽  
Vol 55 (1-3) ◽  
pp. 443-452 ◽  
Author(s):  
T. Hayat ◽  
S. Noreen ◽  
M. Shabab Alhothuali ◽  
S. Asghar ◽  
A. Alhomaidan

Sign in / Sign up

Export Citation Format

Share Document