scholarly journals Couple stress fluid flow due to slow steady oscillations of a permeable sphere

2020 ◽  
Vol 9 (1) ◽  
pp. 352-360
Author(s):  
P. Aparna ◽  
P. Padmaja ◽  
N. Pothanna ◽  
J.V. Ramana Murthy

AbstractThe study of oscillating flow of a Couple Stress fluid past a permeable sphere is considered. Analytical solution for the flow field in terms of stream function is obtained using modified Bessel functions. The formula for Drag acting on the sphere due external flow is evaluated. Pressure field for the flow region past and inside the sphere is obtained. Effects of physical parameters like couple stress parameter, permeability, frequency and geometric parameters on the drag due to internal and external flows are represented graphically. It is observed that the drag for viscous fluid flow will be less than the case of couple-stress fluid flow and hence couple stress fluids offer resistance for flow.

2019 ◽  
Vol 97 (2) ◽  
pp. 166-175 ◽  
Author(s):  
Hussain Basha ◽  
G. Janardhana Reddy ◽  
M. Gnaneswara Reddy

The transient two-dimensional natural convective couple stress fluid flow past a semi-infinite vertical flat plate in the presence of first-order homogenous chemical reaction is investigated. The analysis has been carried out by considering the effects of skin-friction coefficient and Nusselt and Sherwood numbers. The unsteady coupled nonlinear governing flow equations have been solved by applying the Crank–Nicolson implicit finite difference scheme. For the different set physical parameters, graphs are shown and examined. A relevant study with existing results is made in a limiting sense. The transient and steady-state velocity profiles decrease as the chemical reaction parameter, Schmidt number, and couple stress parameter increase. The deviations of concentration, temperature, and velocity contours of the couple stress fluid flow are considerably varied in comparison with the Newtonian fluid flow.


2016 ◽  
Vol 19 (5) ◽  
pp. 391-404 ◽  
Author(s):  
B. M. Shankar ◽  
I. S. Shivakumara ◽  
Chiu-On Ng

2019 ◽  
Vol 101 ◽  
pp. 251-258 ◽  
Author(s):  
Samuel O. Adesanya ◽  
Basma Souayeh ◽  
Mohammad Rahimi-Gorji ◽  
M.N. Khan ◽  
O.G. Adeyemi

2012 ◽  
Vol 67 (5) ◽  
pp. 217-224 ◽  
Author(s):  
Tasawar Hayat ◽  
Zahid Iqbal ◽  
Muhammad Qasim ◽  
Omar M. Aldossary

This investigation reports the boundary layer flow and heat transfer characteristics in a couple stress fluid flow over a continuos moving surface with a parallel free stream. The effects of heat generation in the presence of convective boundary conditions are also investigated. Series solutions for the velocity and temperature distributions are obtained by the homotopy analysis method (HAM). Convergence of obtained series solutions are analyzed. The results are obtained and discussed through graphs for physical parameters of interest.


2018 ◽  
Vol 9 (4) ◽  
pp. 665-673 ◽  
Author(s):  
P. Aparna ◽  
J.V. Ramana Murthy ◽  
G. Nagaraju

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