Natural convection flow of a generalized second grade fluid between two vertical walls

2008 ◽  
Vol 9 (1) ◽  
pp. 80-93 ◽  
Author(s):  
Mehrdad Massoudi ◽  
Ashwin Vaidya ◽  
Rachmadian Wulandana
Keyword(s):  
Natural Convection ◽  
Second Grade ◽  
Convection Flow ◽  
Second Grade Fluid ◽  
Natural Convection Flow ◽  
Grade Fluid ◽  
Generalized Second Grade Fluid ◽  
Vertical Walls

scholarly journals Natural convection flow of a second grade fluid in an infinite vertical cylinder

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Maria Javaid ◽  
M. Imran ◽  
M. A. Imran ◽  
I. Khan ◽  
K. S. Nisar
Keyword(s):  
Natural Convection ◽  
Vertical Cylinder ◽  
Second Grade ◽  
Convection Flow ◽  
Second Grade Fluid ◽  
Natural Convection Flow ◽  
Grade Fluid

scholarly journals A new fourth-order explicit group method in the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Muhammad Asim Khan ◽  
Norhashidah Hj. Mohd Ali ◽  
Nur Nadiah Abd Hamid
Keyword(s):  
Finite Difference ◽  
Stokes Problem ◽  
Stability And Convergence ◽  
Second Grade ◽  
Group Method ◽  
Two Dimensional ◽  
Second Grade Fluid ◽  
The Matrix ◽  
Grade Fluid ◽  
Generalized Second Grade Fluid

Abstract In this article, a new explicit group iterative scheme is developed for the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid. The proposed scheme is based on the high-order compact Crank–Nicolson finite difference method. The resulting scheme consists of three-level finite difference approximations. The stability and convergence of the proposed method are studied using the matrix energy method. Finally, some numerical examples are provided to show the accuracy of the proposed method.

Mechanical and thermal energies transport flow of a second grade fluid with novel fractional derivative

2021 ◽  
pp. 095440892110535
Author(s):  
Mushtaq Ahmad ◽  
Muhammad I Asjad ◽  
Kottakkaran S Nisar ◽  
Ilyas Khan
Keyword(s):  
Integral Transform ◽  
Large Time Behavior ◽  
Second Grade ◽  
Convection Flow ◽  
Time Behavior ◽  
Second Grade Fluid ◽  
Dual Nature ◽  
The Laplace Transform ◽  
Grade Fluid ◽  
Unsteady Natural Convection

In this study, an unsteady natural convection flow of second-grade fluid over a vertical plate with Newtonian heating by constant proportional Caputo non-integer order derivative is presented. After developing a dimensionless flow model, the set of governing equations are solved with the help of integral transform, namely the Laplace transform and closed solutions are obtained. Also, some graphs of temperature and velocity field are drawn to see the subjectively of fractional parameter [Formula: see text] and other involved parameters of interest. It also shows dual nature for small and large time behavior due to the power-law kernel. Further, a comparative analysis between the temperature as well as the velocity fields with existing literature has been presented. Further, as a result, it is concluded that constant proportional Caputo derivative shows more decaying nature of the fluid flow properties than classical Caputo and Caputo-Fabrizio fractional derivatives.

Flows of a generalized second grade fluid in a cylinder due to a velocity shock

2019 ◽  
Vol 60 ◽  
pp. 720-730 ◽  
Author(s):  
Itrat Abbas Mirza ◽  
Muhammad Saeed Akram ◽  
Imran Siddique
Keyword(s):  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Generalized Second Grade Fluid
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