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Mathematical Formulation and Numerical Methods

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Mixed Convection in Fluid Superposed Porous Layers

Part of the book series: SpringerBriefs in Applied Sciences and Technology ((BRIEFSTHERMAL))

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Abstract

Numerical solution of the mass, momentum, and energy conservation equations governing mixed convection in fluid-superposed porous layers is described. The momentum equation includes the Brinkman and Forchheimer terms and the Boussinesq equation of state accounts for buoyancy. The lower boundary of the system is heated over a finite length with the heat sink on the upper surface of the fluid sublayer. Test cases against prior investigations give very good results for free and mixed convection in saturated porous layers and cavities with full bottom heating.

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References

  1. Bagchi A (2010) Natural convection in horizontal fluid-superposed porous layers heat locally from below. Doctoral Dissertation, University of Minnesota, Minneapolis. Also: Bagchi A, Kulacki FA (2014) Natural convection in superposed fluid-porous layers, springer briefs in thermal engineering and applied science, Springer International Publishing AG, Cham

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of South Florida, Tampa, FL, USA

    John M. Dixon

  2. Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN, USA

    Francis A. Kulacki

Authors
  1. John M. Dixon
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  2. Francis A. Kulacki
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Dixon, J.M., Kulacki, F.A. (2017). Mathematical Formulation and Numerical Methods. In: Mixed Convection in Fluid Superposed Porous Layers. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-319-50787-3_2

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  • DOI: https://doi.org/10.1007/978-3-319-50787-3_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-50786-6

  • Online ISBN: 978-3-319-50787-3

  • eBook Packages: EngineeringEngineering (R0)

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