Open Access Open Access  Restricted Access Subscription or Fee Access

Homann Flow and Heat Transfer Through a Porous Medium with Uniform Suction or Injection


(*) Corresponding author


Authors' affiliations


DOI: https://doi.org/10.15866/ireche.v13i1.20639

Abstract


The steady axisymmetric flow through a porous medium of an incompressible viscous fluid impinging on a porous flat plate is examined with heat transfer. A uniform suction or injection is applied perpendicular to the plate which is kept at a constant temperature. The governing nonlinear momentum and energy equations are solved numerically using the method of finite difference. The effect of the porosity of the medium and the uniform suction or injection on both the flow and heat transfer is investigated.
Copyright © 2021 Praise Worthy Prize - All rights reserved.

Keywords


Homann Flow; Heat Transfer; Numerical Solution; Porous Medium; Suction and Injection

Full Text:

PDF


References


K. Hiemenz, Die Grenzschicht an einem in den gleichformingen Flussigkeitsstrom eingetauchten geraden Kreiszylinder, Dingler Polytech. J., 326 (1991) 321-410.

F. Homann, Der Einfluss grosser Zahighkeit bei der Stromung um den Zylinder und um die Kugel, Z. Angew. Math. Mech. 16 (1936) 153-164.

H. Schlichting and K. Bussmann, Exakte losungen fur die laminare grenzchicht mit absaugung und ausblasen, Schri. Dtsch. Akad. Luftfahrtforschung 7 (1943) 25-69.

. J.H. Preston, The Boundary layer flow over permeable a surface through which suction is applied, British Aerospace Research Council, London, No. 2244, 1946.

P.D. Ariel, Stagnation point flow with suction: an approximate solution, J. Appl. Mech. 61 (1994) 976-978.

H.A. Attia, On the effectiveness of porosity on stagnation point flow with heat transfer over a permeable surface, J. of Porous Medium 10 (2007) 625-631.

M. Massoudi and M. Ramezan, Boundary layers heat transfer analysis of a viscoelastic fluid at a stagnation point, ASME HTD 130 (1990) 81-86.

M. Massoudi and M. Ramezan, Heat transfer analysis of a viscoelastic fluid at a stagnation point”, Mech. Res. Commun. 19 (1992) 129-134.

V.K. Garg, Heat transfer due to stagnation point flow of a non-Newtonian fluid”, Acta Mech. 104 (1994) 159-171.

H.A. Attia, Steady three-dimensional hydromagnetic stagnation point flow towards a stretching sheet with heat generation", Italian J. of Pure and Appl. Math. 27 (2010) 9-18.

H.A. Attia and K.M. Ewis, Three dimensional axisymmetric stagnation point flow towards a stretching surface in the presence of uniform suction or blowing with heat generation, ASME Tenth Int. Cong. Fluid Dynamics (ICFD10), Egypt, Dec. 2010.

D.D. Joseph, D.A. Nield and G. Papanicolaou, Nonlinear equation governing flow in a saturated porous media, Water Resources Research 18 (1982) 1049-1052.

D.B. Ingham and I. Pop, Transport Phenomena in Porous Media (Pergamon, Oxford, 2002).

A.R.A. Khaled and K. Vafai, The role of porous media in modeling flow and heat transfer in biological tissues, Int. J. Heat Mass Transf., 46 (2003) 4989-5003.

H. Schlichting, Boundary Layer Theory (McGraw-Hill, New York, 1968).

M.F. White, Viscous Fluid Flow (McGraw-Hill, New York, 1991).


Refbacks

  • There are currently no refbacks.



Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize