SOLUTION OF COUNTER-CURRENT IMBIBITION PHENOMENA ARISING IN FLUID FLOW THROUGH POROUS MEDIA WITH INCLINATION AND GRAVITATIONAL EFFECT USING HOMOTOPY ANALYSIS METHOD

2017 ◽  
Vol 4 (04) ◽  
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Homotopy Analysis Method ◽  
Gravitational Effect ◽  
Analysis Method ◽  
Flow Through Porous Media ◽  
Homotopy Analysis ◽  
Flow Through ◽  
Counter Current

scholarly journals Dynamics with Cattaneo–Christov heat and mass flux theory of bioconvection Oldroyd-B nanofluid

2020 ◽  
Vol 12 (8) ◽  
pp. 168781402093046 ◽  
Author(s):  
Noor Saeed Khan ◽  
Qayyum Shah ◽  
Arif Sohail
Keyword(s):  
Mass Transfer ◽  
Porous Media ◽  
Differential Equations ◽  
Mass Flux ◽  
Homotopy Analysis Method ◽  
Two Dimensional ◽  
Analysis Method ◽  
Homotopy Analysis ◽  
Transfer Flow ◽  
Insight Into

Entropy generation in bioconvection two-dimensional steady incompressible non-Newtonian Oldroyd-B nanofluid with Cattaneo–Christov heat and mass flux theory is investigated. The Darcy–Forchheimer law is used to study heat and mass transfer flow and microorganisms motion in porous media. Using appropriate similarity variables, the partial differential equations are transformed into ordinary differential equations which are then solved by homotopy analysis method. For an insight into the problem, the effects of various parameters on different profiles are shown in different graphs.

Nonstationary model of immiscible fluid flow through porous media

1994 ◽  
Vol 28 (6) ◽  
pp. 808-813
Author(s):  
V. V. Kadet ◽  
R. M. Musin ◽  
V. I. Selyakov
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Immiscible Fluid ◽  
Flow Through Porous Media ◽  
Nonstationary Model ◽  
Immiscible Fluid Flow ◽  
Flow Through

scholarly journals An efficient analytic approach for solving Hiemenz flow through a porous medium of a non-Newtonian Rivlin-Ericksen fluid with heat transfer

2018 ◽  
Vol 7 (4) ◽  
pp. 287-301
Author(s):  
Kourosh Parand ◽  
Yasaman Lotfi ◽  
Jamal Amani Rad
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Homotopy Analysis Method ◽  
Nonlinear Differential Equations ◽  
Analytic Method ◽  
Analysis Method ◽  
Wide Range ◽  
Hiemenz Flow ◽  
Homotopy Analysis ◽  
Flow Through

AbstractIn the present work, the problem of Hiemenz flow through a porous medium of a incompressible non-Newtonian Rivlin-Ericksen fluid with heat transfer is presented and newly developed analytic method, namely the homotopy analysis method (HAM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. This flow impinges normal to a plane wall with heat transfer. It has been attempted to show capabilities and wide-range applications of the homotopy analysis method in comparison with the numerical method in solving this problem. Also the convergence of the obtained HAM solution is discussed explicitly. Our reports consist of the effect of the porosity of the medium and the characteristics of the Non-Newtonian fluid on both the flow and heat.

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