Solute dispersion in transient Casson fluid flow through stenotic tube with exchange between phases

2021 ◽  
Vol 33 (6) ◽  
pp. 061907
Author(s):  
Prosanjit Das ◽  
Sarifuddin ◽  
Jyotirmoy Rana ◽  
Prashanta Kumar Mandal
Keyword(s):  
Fluid Flow ◽  
Casson Fluid ◽  
Solute Dispersion ◽  
Flow Through

Analytical Solution of Unsteady Casson Fluid Flow Through a Vertical Cylinder with Slip Velocity Effect

2021 ◽  
Vol 87 (1) ◽  
pp. 68-75
Author(s):  
Wan Faezah Wan Azmi ◽  
Ahmad Qushairi Mohamad ◽  
Lim Yeou Jiann ◽  
Sharidan Shafie
Keyword(s):  
Fluid Flow ◽  
Analytical Solution ◽  
Newtonian Fluid ◽  
Analytical Solutions ◽  
Slip Velocity ◽  
Fluid Velocity ◽  
Real Life ◽  
Casson Fluid ◽  
Flow Through ◽  
Velocity Effect

Casson fluid is a non-Newtonian fluid with its unique fluid behaviour because it behaves like an elastic solid or liquid at a certain condition. Recently, there are several studies on unsteady Casson fluid flow through a cylindrical tube have been done by some researchers because it is related with the real-life applications such as blood flow in vessel tube, chemical and oil flow in pipelines and others. Therefore, the main purpose of the present study is to obtain analytical solutions for unsteady flow of Casson fluid pass through a cylinder with slip velocity effect at the boundary condition. Dimensional governing equations are converted into dimensionless forms by using the appropriate dimensionless variables. Dimensionless parameters are obtained through dimensionless process such as Casson fluid parameters. Then, the dimensionless equations of velocity with the associated initial and boundary conditions are solved by using Laplace transform with respect to time variable and finite Hankel transform of zero order with respect to the radial coordinate. Analytical solutions of velocity profile are obtained. The obtained analytical result for velocity is plotted graphically by using Maple software. Based on the obtained result, it can be observed that increasing in Casson parameter, time and slip velocity will lead to increment in fluid velocity. Lastly, Newtonian fluid velocity is uniform from the boundary to the center of cylinder while Casson fluid velocity is decreased when approaching to the center of cylinder. The present result is validated when the obtained analytical solution of velocity is compared with published result and found in a good agreement.

Numerical simulation of Casson fluid flow through differently shaped arterial stenoses

2013 ◽  
Vol 65 (4) ◽  
pp. 767-782 ◽  
Author(s):  
Sarifuddin ◽  
Santabrata Chakravarty ◽  
Prashanta Kumar Mandal
Keyword(s):  
Numerical Simulation ◽  
Fluid Flow ◽  
Casson Fluid ◽  
Flow Through ◽  
Arterial Stenoses
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