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Developing of Flow in Porous and Semi-Porous Channels with Different Interface Boundary Conditions

Biranvand, Saeed | 2018

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 50816 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Nouri Borujerdi, Ali
  7. Abstract:
  8. In this study we solve the porous and semi-porous flow in the entrance region in a channel filled with porous material or partially filled with it. We present a semi-analytical method for solving the momentum equation in porous and semi-porous channel and pipes at the development and fully developed regions in order to acquire the entrance length and velocity profile and its dependence to the interface boundary conditions between the porous and fluid flow. For solving the equations of entrance region we utilize the definition of boundary layer and use integral solution. Subliminally we find the thickness of boundary layer at the walls and interface of regions in the porous layer. For fully developed flow, momentum equation of porous flows is non-linear due to existence of Forchheimer term. We know analytical solution stables on linear or linearized equations. So we can linearize Forchheimerr term in order to solve that equation by analytical solution and compare with Runge-Kutta method. Maximum error in velocity between present method and Runge-Kutta is 2% whereas this amount by ignoring the Forchheimerr term is 15%. The friction factor at the walls in duct channels and circular channels will be compared
  9. Keywords:
  10. Partial Porous Channel ; Transition Flow ; Entrance Region ; Integral Method ; Boundary Layer Integral Solution ; Developing Optimal Energy Flow

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