Analysis of modified Fourier law in flow of ferromagnetic Powell–Eyring fluid considering two equal magnetic dipoles

2019 ◽  
Vol 97 (7) ◽  
pp. 772-776 ◽  
Author(s):  
M. Zubair ◽  
M. Ijaz ◽  
T. Abbas ◽  
A. Riaz
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Constitutive Relations ◽  
Flow Analysis ◽  
Thermal Relaxation ◽  
Fourier Law ◽  
Magnetic Dipoles ◽  
Flux Model ◽  
Layer Flow ◽  
Heat Flux Model

The target of the current study is to inspect theoretically 2D boundary layer flow of an Eyring–Powell ferromagnetic liquid over a flat plate. An external magnetic field due to two magnetic dipoles is applied. Modified Fourier law of heat flux model is employed. Constitutive relations for Eyring–Powell fluid are considered in the boundary layer flow analysis. Series results to the nonlinear formulation are derived and scrutinized by homotopic scheme. Characteristics of various parameters like magneto-thermomechanical (ferrohydrodynamic) interaction parameter, Prandtl number, and dimensionless thermal relaxation on temperature profile are displayed via graphs. It is noted that temperature field decays via thermal relaxation factor.

Analytical study of Cattaneo–Christov heat flux model for a boundary layer flow of Oldroyd-B fluid

2016 ◽  
Vol 25 (1) ◽  
pp. 014701 ◽  
Author(s):  
F M Abbasi ◽  
M Mustafa ◽  
S A Shehzad ◽  
M S Alhuthali ◽  
T Hayat
Keyword(s):  
Boundary Layer ◽  
Heat Flux ◽  
Boundary Layer Flow ◽  
Analytical Study ◽  
Flux Model ◽  
Layer Flow ◽  
Heat Flux Model

Unsteady Hydromagnetic Boundary Layer Flow of a Nanofluid over a Stretching Sheet: Using Cattaneo-Christov Heat Flux Model

2018 ◽  
Vol 388 ◽  
pp. 61-76 ◽  
Author(s):  
G. Vinod Kumar ◽  
S. Vijaya Kumar Varma ◽  
R.V.M.S.S. Kiran Kumar
Keyword(s):  
Boundary Layer ◽  
Heat Flux ◽  
Stretching Sheet ◽  
Thermal Relaxation ◽  
Fluid Temperature ◽  
Shooting Technique ◽  
Buongiorno’S Model ◽  
Flux Model ◽  
Layer Flow ◽  
Heat Flux Model

The present investigation has put a focus on the hydromagnetic boundary layer unsteady flow of a nanofluid over a stretching sheet. A new heat flux model named Cattaneo-Christov is applied as the substitution of classical Fourier’s law. Buongiorno’s model is incorporated. The coupled non-linear transformed equations are solved numerically by using shooting technique with MATLAB bvp4c package. The obtained results are presented and discussed through graphs and tables in detail. Our results reveal that the unsteady parameter reduces all the three boundary layer thickness. The thermal relaxation parameter exhibits a non-conducting nature that makes the decline in fluid temperature.

scholarly journals A boundary layer flow analysis of a magnetohydrodynamic fluid over a shrinking sheet

2019 ◽  
Vol 11 (3) ◽  
pp. 168781401983506 ◽  
Author(s):  
Cheng-Hsing Hsu ◽  
Te-Hui Tsai ◽  
Ching-Chuan Chang ◽  
Wen-Han Huang
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Differential Equations ◽  
Boundary Layer Flow ◽  
Flow Analysis ◽  
Shear Thickening ◽  
Transformation Method ◽  
Skin Friction Coefficient ◽  
Shrinking Sheet ◽  
Layer Flow

A steady-state boundary layer flow analysis of a non-Newtonian magnetic fluid over a shrinking sheet was studied. The boundary layer thickness and the velocity distribution in the layer were studied under the conditions of a uniform magnetic field normal to the shrinking sheet and/or a vertical uniform mass suction across the sheet. The similarity transformation method was used to transform the governing partial differential equations to ordinary differential equations. The shooting method with Newton’s algorithm and Runge–Kutta integration method were used to obtain the solutions of the equations. The results showed that the variation of the flow velocity profiles in the boundary layer was significant, the thickness of the boundary layer was thinner, and the skin friction coefficient was bigger for either shear thinning or shear thickening magnetic fluids under the conditions of a stronger magnetic field or a larger mass suction effect.

Effect of Viscous Dissipation on Upper - Convected Maxwell Fluid with Cattaneo-Christov Heat Flux Model Using Spectral Relaxation Method

2018 ◽  
Vol 388 ◽  
pp. 146-157 ◽  
Author(s):  
K. Gangadhar ◽  
Chintalapudi Suresh Kumar ◽  
S. Mohammed Ibrahim ◽  
Giulio Lorenzini
Keyword(s):  
Boundary Layer ◽  
Heat Flux ◽  
Relaxation Time ◽  
Thermal Relaxation ◽  
Relaxation Method ◽  
Maxwell Fluid ◽  
Spectral Relaxation Method ◽  
Flux Model ◽  
Spectral Relaxation ◽  
Heat Flux Model

The study observes the flow and heat transfer in upper-convected Maxwell fluid over a rapidly stretching surface with viscous dissipation. Cattaneo-Christov heat flux model has been used in the preparation of the energy equation. The model is used in guessing the impacts of thermal relaxation time over boundary layer. Similarity method has been used to keep normal the supervising boundary layer equations. Local similarity solutions have been obtained through spectral relaxation method. The fluid temperature has a relation with thermal relaxation time inversely and our calculations have shown the same.. In addition the fluid velocity is a receding activity of the fluid relaxation time. A comparative study of Fourier’s law and the Cattaneo-Christov’s law has been done and inserted in this.

Boundary layer flow analysis of a nanofluid past a porous moving semi-infinite flat plate by optimal collocation method

2016 ◽  
Vol 301 ◽  
pp. 34-43 ◽  
Author(s):  
M. Khazayinejad ◽  
M. Hatami ◽  
D. Jing ◽  
M. Khaki ◽  
G. Domairry
Keyword(s):  
Boundary Layer ◽  
Flat Plate ◽  
Collocation Method ◽  
Boundary Layer Flow ◽  
Flow Analysis ◽  
Layer Flow
Sign in / Sign up

Export Citation Format

Share Document