Unsteady MHD Flow in a Rotating Parallel Plate Channel under the Influence of Pressure Gradient with Hall Current Effects

2016 ◽  
Vol 10 (3) ◽  
pp. 1-21 ◽  
Author(s):  
M Krishna
1976 ◽  
Vol 43 (4) ◽  
pp. 555-558 ◽  
Author(s):  
W. A. Fiveland ◽  
P.-C. Lu

Analysis is made of a transient, fully developed, laminar flow of an incompressible fluid in a porous, parallel-plate channel. The crossflow through the plates is uniform, but is allowed to vary with time. In addition to a pressure gradient due to pumping, the flow is also under the inducement of the motion of one of the plates. Numerical results are obtained through the (final or nonfinal) use of the finite Fourier sine transform. Asymptotic flow patterns showing transient boundary layers are investigated. Finally, the formation of the flow from the start is described in physical terms.


2018 ◽  
Vol 9 (1) ◽  
pp. 61-70 ◽  
Author(s):  
Alireza Rahbari ◽  
Morteza Abbasi ◽  
Iman Rahimipetroudi ◽  
Bengt Sundén ◽  
Davood Domiri Ganji ◽  
...  

Abstract. Analytical and numerical analyses have been performed to study the problem of magneto-hydrodynamic (MHD) flow and heat transfer of an upper-convected Maxwell fluid in a parallel plate channel. The governing equations of continuity, momentum and energy are reduced to two ordinary differential equation forms by introducing a similarity transformation. The Homotopy Analysis Method (HAM), Homotopy Perturbation Method (HPM) and fourth-order Runge-Kutta numerical method (NUM) are used to solve this problem. Also, velocity and temperature fields have been computed and shown graphically for various values of the physical parameters. The objectives of the present work are to investigate the effect of the Deborah numbers (De), Hartman electric number (Ha), Reynolds number (Rew) and Prandtl number (Pr) on the velocity and temperature fields. As an important outcome, it is observed that increasing the Hartman number leads to a reduction in the velocity values while increasing the Deborah number has negligible impact on the velocity increment.


2019 ◽  
Vol 5 (10) ◽  
pp. 17851-17868
Author(s):  
Helder Kiyoshi Miyagawa ◽  
Fábio de Andrade Pontes ◽  
Ingrid Vasconcelos Curcino ◽  
Jackline Rodrigues Ferreira ◽  
Péricles Crisiron Pontes ◽  
...  

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