Analytical Solution for Flow‐Through Porous Electrode under Linear Polarization

1986 ◽  
Vol 133 (7) ◽  
pp. 1394-1398 ◽  
Author(s):  
Kuo‐Chuan Ho ◽  
Jacob Jorne
Keyword(s):  
Analytical Solution ◽  
Linear Polarization ◽  
Porous Electrode ◽  
Flow Through

Processes in the porous electrode: Case of distributed flow-through electrolyte velocity

2013 ◽  
Vol 5 (5) ◽  
pp. 429-438 ◽  
Author(s):  
A. N. Koshev ◽  
V. K. Varentsov ◽  
I. F. Sukhov ◽  
I. G. Gvozdeva
Keyword(s):  
Porous Electrode ◽  
Flow Through

An Analytical Solution of Micropolar-Newtonian Fluid Flow Through Annular Porous Regions

2020 ◽  
Vol 43 (5) ◽  
pp. 457-462
Author(s):  
Pramod Kumar Yadav ◽  
Jaikanth Yadav Puchakatla ◽  
Sneha Jaiswal
Keyword(s):  
Fluid Flow ◽  
Analytical Solution ◽  
Newtonian Fluid ◽  
Flow Through

scholarly journals Jeffery-Hamel slip flow in a convergent microchannel with uniform wall temperature and streamwise heat conduction

2019 ◽  
Vol 286 ◽  
pp. 08010
Author(s):  
Mohammed Niagui ◽  
Youssef Haddout ◽  
Abdelaziz Oubarra ◽  
Jawad Lahjomri
Keyword(s):  
Heat Conduction ◽  
Analytical Solution ◽  
Slip Flow ◽  
Thermal Characteristics ◽  
Three Dimensions ◽  
Uniform Wall Temperature ◽  
Uniform Wall ◽  
Flow Through ◽  
Laminar Forced Convection

This work is devoted to the determination of the analytical solution of the problem of the laminar forced convection of the Jeffery-Hamel slip flow through a convergent microchannel. The analytical solution is obtained by using a self-adjoint formalism of the functional analysis. The solution represents an extension of the solution obtained in the conventional continuum flow by considering the boundaries slip conditions at the wall and the streamwise heat conduction. This extension has been done by using a new matrix operator of three dimensions in the Hilbert space. The results show that the thermal characteristics are strongly influenced by the Reynolds, Prandtl and Knudsen numbers, the aperture angle of the channel and the streamwise heat conduction.

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.

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