Magnetized mixed convection second‐grade fluid flow adjacent to a lubricated vertical surface

Heat Transfer ◽  
2020 ◽  
Vol 49 (6) ◽  
pp. 3958-3978
Author(s):  
Manzoor Ahmad ◽  
S. A. Shehzad ◽  
Muhammad Taj ◽  
G. K. Ramesh
Keyword(s):  
Fluid Flow ◽  
Mixed Convection ◽  
Vertical Surface ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid

scholarly journals Heat and Mass Transfer in a Second Grade Fluid Over a Stretching Vertical Surface in a Porous Medium

2015 ◽  
Vol 20 (2) ◽  
pp. 239-255 ◽  
Author(s):  
I.G. Baoku ◽  
Y.S. Onifade ◽  
L.O. Adebayo ◽  
K.M. Yusuff
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Porous Medium ◽  
Differential Equations ◽  
Mixed Convection ◽  
Heat And Mass Transfer ◽  
Vertical Surface ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid

Abstract The investigation deals with the combined heat and mass transfer in a mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic second grade fluid. The partial differential equations governing the model have been transformed by a similarity transformation and the system of coupled-ordinary differential equations is solved by employing the shooting method with the fifth-order Runge-Kutta-Fehlberg iteration technique. Effects of various values of physical parameters embedded in the flow model on the dimensionless velocity, temperature and concentration distributions are discussed and shown with the aid of graphs. Numerical values of physical quantities, such as the local skin-coefficient, local Nusselt number and local Sherwood number are presented in a tabular form. It is observed that the boundary layer fluid velocity increases as the second grade parameter, mixed convection parameter and Prandtl number increase.

SECOND‐GRADE FLUID FLOW WITH POWER‐LAW HEAT FLUX AND A HEAT SOURCE

2013 ◽  
Vol 44 (8) ◽  
pp. 687-702 ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir A. Shehzad ◽  
Muhammad Qasim ◽  
F. Alsaadi ◽  
Ahmed Alsaedi
Keyword(s):  
Heat Flux ◽  
Fluid Flow ◽  
Heat Source ◽  
Power Law ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Power Law Heat Flux

Stability analysis on dual solutions of second- grade fluid flow with heat and mass transfers over a stretching sheet

2021 ◽  
Vol 8 (2) ◽  
Author(s):  
D. Dey ◽  
R. Borah
Keyword(s):  
Fluid Flow ◽  
Stability Analysis ◽  
Lorentz Force ◽  
Drag Force ◽  
Dual Solutions ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Independent Case ◽  
Grade Fluid ◽  
Mass Transfers

Stability on dual solutions of second-grade fluid flow over a stretching surface with simultaneous thermal and mass diffusions has been studied. The fluid flow is governed by Lorentz force and energy dissipation due to viscosity. Lorentz force is generated due to the application of magnetic field along the transverse direction. In methodology, suitable similarity transformation and MATLAB built-in bvp4c solver technique have been adopted. Effects of some flow parameters are exhibited through figures and tables and a special emphasis is given on the existence of dual solutions. A stability analysis is executed to determine the stable and physically achievable solutions. For the laminar flow, the drag force on the surface for the time-independent case is reduced due to amplifying values of But, it enhances the drag force for the time-dependent case. This shows the effectiveness of the first solution (during steady case) over the unsteady case.

Similarity solution of second grade fluid flow over a moving cylinder

2021 ◽  
Author(s):  
Nadeem Abbas ◽  
M. Y. Malik ◽  
Sohail Nadeem ◽  
Shafiq Hussain ◽  
A. S. El-Shafa
Keyword(s):  
Boundary Layer ◽  
Fluid Flow ◽  
Differential Equations ◽  
Material Parameter ◽  
Second Grade ◽  
Physical Parameters ◽  
Stretching Cylinder ◽  
Second Grade Fluid ◽  
Moving Cylinder ◽  
Grade Fluid

Stagnation point flow of viscoelastic second grade fluid over a stretching cylinder under the thermal slip and magnetic hydrodynamics effects are studied. The mathematical model has been developed under the assumption of non-Newtonian viscoelastic fluid flow over a stretching cylinder by means of the boundary layer approximations. The developed model further reduced through the similarity transformations and constructs the model of nonlinear ordinary differential equations. The system of nonlinear differential equations is dimensionless and solved through the numerical technique bvp5c methods. The results of the physical parameters are found and interpreted in the form of tables and graphs. The velocity shows that the graph of curves enhances away from the surface when the values material parameter [Formula: see text] increase, which means the momentum boundary layer increases for enhancing the material parameter [Formula: see text]. The temperature gradient reduced due enhancing the values of material parameter [Formula: see text] because thermal boundary layer reduced for higher values of material parameter [Formula: see text].

A theoretical investigation for mixed convection impact in non-Newtonian nanofluid stratified flow subjected to magnetic field

2019 ◽  
Vol 29 (8) ◽  
pp. 2948-2963 ◽  
Author(s):  
Muhammad Waqas ◽  
Muhammad Mudassar Gulzar ◽  
Zeeshan Asghar ◽  
Z. Ali ◽  
Waqar Azeem Khan ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Mixed Convection ◽  
Thermal Stratification ◽  
Design Methodology ◽  
Thermal Field ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Nanofluid Flow ◽  
Content Type ◽  
Grade Fluid

Purpose The purpose of this study is to elaborate mixed convection impact in stratified nanofluid flow by convectively heated moving surface. Rheological relations of second-grade fluid are used for formulation. Magnetic field, heat absorption/generation and convective conditions are considered for modeling. Design/methodology/approach Convergent solutions are achieved using homotopy procedure. Findings The authors found opposing behavior for radiation and thermal stratification variables against thermal field. Originality/value No such analysis has yet been reported.

Nonstationary poiseuille-type solutions for the second-grade fluid flow

2012 ◽  
Vol 52 (2) ◽  
pp. 155-171 ◽  
Author(s):  
Neringa Klovienė ◽  
Konstantinas Pileckas
Keyword(s):  
Fluid Flow ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid
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