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Direct Numerical Simulation of Heat and Fluid Flow through Porous Channel

Ebrahimi, Behnam | 2010

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 40366 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Nouri Boroujerdi, Ali
  7. Abstract:
  8. In this project, direct numerical simulation of fluid flow inside the porous channel is carried out. The flow channel is containing uniform array of solid blocks with square cross sections in an staggered scheme. Two thermal boundary conditions of constant temperature and constant heat flux of solid blocks were applied to the problem. The Navier-Stokes equations directly applied to the fluid region with no assumption of volume-averaging. Governing equations of two-dimensional flow with constant properties were discretized with control volume method. Energy equations for solid and fluid phases were solved separately. The results show that for solid block lengths over channel height, a/H=0.05, 0.0625, 0.1, 0.125 and 0.25, the non-dimensional pressure drop is equal to 267.17, 204.64, 140.46, 112.07 and 55.84 and for Re=50 and 1000 is equal to 342.6 and 122.36 respectively. Also, when the solid blocks temperature is constant, the thermal entrance length is respectively, equal to 1.248, 1.621, 3.245, 4.002 and 12.98 for a/H=0.05, 0.0625, 0.1, 0.125 and 0.25. For Re=50 and 1000, the thermal entrance length is 0.97 and 11.78. The Stanton number in the fully developed region of the channel when the solid blocks temperature is constant, for a/H=0.05, 0.0625, 0.1, 0.125 and 0.25 is equal to 0.313, 0.275, 0.199, 0.177 and 0.102 and for Re=50 and 1000 is equal to 1.038 and 0.119 respectively. This quantity when the solid blocks thermal flux is constant, is equal to 0.259, 0.223, 0.159, 0.143 and 0.091 for a/H=0.05, 0.0625, 0.1, 0.125 and 0.25. For Re=50 and 1000, the Stanton number is 1.059 and 0.117, when the solid blocks thermal flux is constant
  9. Keywords:
  10. Nusselt Number ; Porous Media ; Convection Heat Transfer ; Direct Numerical Simulation (DNS) ; Computational Fluid Dynamics (CFD)

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