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].

Change in conductivity of magnetohydrodynamic Darcy–Forchheimer second-grade fluid flow due to variable thickness surface

2019 ◽  
Vol 97 (8) ◽  
pp. 809-815 ◽  
Author(s):  
A. Haider ◽  
T. Salahuddin ◽  
M.Y. Malik
Keyword(s):  
Thermal Conductivity ◽  
Fluid Flow ◽  
Differential Equations ◽  
Variable Thermal Conductivity ◽  
Second Grade ◽  
Physical Parameters ◽  
Second Grade Fluid ◽  
Inertia Coefficient ◽  
Grade Fluid ◽  
Energy And Momentum

The current investigation is communicated to analyze the characteristics of Darcy–Forchheimer second-grade fluid flow enclosed by a deformable sheet in the existence of both variable thermal conductivity and magnetohydrodynamics. The leading nonlinear energy and momentum partial differential equations are converted into nonlinear ordinary differential equations by utilizing suitable analogous approach. Then the acquired nonlinear problem is numerically calculated by utilizing BVP4C (built in) technique in MATLAB. The influence of certain appropriate physical parameters, namely wall thickness, second-grade fluid, Hartmann number, power index, porosity parameter, inertia coefficient, Prandtl number, and thermal conductivity, on temperature and velocity is studied and deliberated in detail. Numerical calculations of Nusselt number and skin friction for distinct estimations of appearing parameters are analysed through graphs and tables.

scholarly journals Hydrothermal analysis of Non-Newtonian second grade fluid flow on radiative stretching cylinder with Soret and Dufour effects

2019 ◽  
Vol 13 ◽  
pp. 100384 ◽  
Author(s):  
Ahmadreza Shojaei ◽  
A. Jafarian Amiri ◽  
S. Saedi Ardahaie ◽  
Kh. Hosseinzadeh ◽  
D.D. Ganji
Keyword(s):  
Fluid Flow ◽  
Second Grade ◽  
Stretching Cylinder ◽  
Second Grade Fluid ◽  
Soret And Dufour Effects ◽  
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

scholarly journals Three dimensional flow and mass transfer analysis of a second grade fluid in a porous channel with a lower stretching wall

2016 ◽  
Vol 21 (2) ◽  
pp. 359-376
Author(s):  
N.A. Khan ◽  
F. Naz
Keyword(s):  
Mass Transfer ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Three Dimensional ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Three Dimensional Flow ◽  
Dimensional Flow ◽  
Grade Fluid ◽  
Suction Or Injection

AbstractThis investigation analyses a three dimensional flow and mass transfer of a second grade fluid over a porous stretching wall in the presence of suction or injection. The equations governing the flow are attained in terms of partial differential equations. A similarity transformation has been utilized for the transformation of partial differential equations into the ordinary differential equations. The solutions of the nonlinear systems are given by the homotopy analysis method (HAM). A comparative study with the previous results of a viscous fluid has been made. The convergence of the series solution has also been considered explicitly. The influence of admissible parameters on the flows is delineated through graphs and appropriate results are presented. In addition, it is found that instantaneous suction and injection reduce viscous drag on the stretching sheet. It is also shown that suction or injection of a fluid through the surface is an example of mass transfer and it can change the flow field.

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.

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

THE EFFECTS OF ENDOSCOPE AND HEAT TRANSFER ON THE PERISTALTIC FLOW OF A SECOND GRADE FLUID IN AN INCLINED TUBE

2016 ◽  
Vol 16 (04) ◽  
pp. 1650057 ◽  
Author(s):  
K. RAMESH ◽  
M. DEVAKAR
Keyword(s):  
Heat Transfer ◽  
Vertical Tube ◽  
Peristaltic Flow ◽  
Temperature Fields ◽  
Second Grade ◽  
Physical Parameters ◽  
Second Grade Fluid ◽  
Pumping Rate ◽  
Inclined Tube ◽  
Grade Fluid

In the present paper, we have studied the effects of endoscope and heat transfer on the peristaltic flow of second grade fluid through an inclined tube. The endoscope is a solid circular cylinder which is inserted in a peristaltic tube, and the flow takes place through the gap between endoscope and the peristaltic tube. The endoscope is maintained at a temperature [Formula: see text], while the outer tube has a sinusoidal wave traveling down its wall and is exposed to temperature [Formula: see text]. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The equations governing the flow of second grade fluid are modeled in cylindrical coordinates. Using perturbation method, the solutions are obtained for the stream function, pressure gradient and temperature fields. The pressure difference and frictional force at both the walls are calculated using numerical integration. The graphical results are presented to interpret the effect of various physical parameters of interest. It is found that, velocity increases with an increase in inclination angle and the best pumping rate appear in the vertical tube as compared to the horizontal tube. It is also found that, the heat generation parameter has an increasing effect on the velocity of the fluid.

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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