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Influence of radiation on mixed convection over a wedge in non-Darcy porous medium

Strahlungseinfluss auf die Mischkonvektion über eine geneigte Oberfläche in einem porösen Non-Darcy Medium

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Abstract

The influences of radiation on mixed convection flow of an optically dense viscous fluid along an isothermal wedge embedded in non-Darcy porous medium, in the presence of heat source/sink are numerically investigated. The entire mixed convection regime is covered by a single parameter χ from the pure free convection limit (χ=0) to the pure forced convection limit (χ=1). Forchheimer’s extension is employed to describe the fluid flow in the porous medium and the Rosseland diffusion approximation is considered to describe the radiative heat flux in the energy equation. The governing equations, including internal heat source/sink, are first transformed into a dimensionless form by the nonsimilar transformation and then solved by the Keller box method. The effect of the radiation parameter, mixed convection parameter, Forchheimer number and heat source/sink parameter on the velocity and temperature profiles as well as on the local Nusselt number is presented and analyzed. The results are compared with those known from the literature and excellent agreement between the results is obtained.

Zusammenfassung

In dieser Arbeit wird der Strahlungseinfluss auf die Strömung eines optisch dichten, viskosen Fluids über eine geneigte Oberfläche numerisch untersucht, die in ein poröses Non-Dary Medium eingebettet ist. Der Einfluss von Wärmequellen und -senken wird zusätzlich berücksichtigt. Der Zustand der gemischten Strömung wird durch den Parameter χ erfasst, der den gesamten Bereich von der reinen freien Konvektion (χ=0) bis zur reinen erzwungenen Konvektion (χ=1) abdeckt. Der Ansatz von Forchheimer wird für die Erfassung der Strömung in dem prösen Medium verwemdet, der von Rosseland, um den Strahlungseinfluss in der Energiegleichung zu berücksichtigen.Die beschreibenden, dimensionslosen Differentialgleichungen werden transformiert und mit der sog. Kellerboxmethode gelöst. Der Einfluss der unterschiedlichen Parameter auf das Geschwindigkeits- und Temperaturfeld als auch auf die Nusseltzahl wird vorgestellt und analysiert. Die Ergebnisse werden mit verfügbaren Literaturwerten verglichen, wobei sich eine sehr gute Übereinstimmung ergibt.

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Authors and Affiliations

  1. Mechanical Engineering Department, Faculty of Engineering Technology, Al-Balqa Applied University, 340558, Marka-Amman, 11134, Jordan

    M.Q. Al-Odat

  2. Mechanical Engineering Department, Al-Husun University College, Al-Balqa Applied University, Al-Balqa, Jordan

    F.M.S. Al-Hussien & R.A. Damseh

Authors
  1. M.Q. Al-Odat
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  2. F.M.S. Al-Hussien
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  3. R.A. Damseh
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Correspondence to M.Q. Al-Odat.

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Al-Odat, M., Al-Hussien, F. & Damseh, R. Influence of radiation on mixed convection over a wedge in non-Darcy porous medium. Forsch Ingenieurwes 69, 209–215 (2005). https://doi.org/10.1007/s10010-005-0004-2

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  • DOI: https://doi.org/10.1007/s10010-005-0004-2

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