J. C. Umavathi, I. C. Liu, J. Prathap Kumar, D. Shaik Meera. Unsteady Flow and Heat Transfer of Porous Media Sandwiched Between Viscous Fluids[J]. Applied Mathematics and Mechanics, 2010, 31(12): 1415-1434. doi: 10.3879/j.issn.1000-0887.2010.12.003
 Citation: J. C. Umavathi, I. C. Liu, J. Prathap Kumar, D. Shaik Meera. Unsteady Flow and Heat Transfer of Porous Media Sandwiched Between Viscous Fluids[J]. Applied Mathematics and Mechanics, 2010, 31(12): 1415-1434.

# Unsteady Flow and Heat Transfer of Porous Media Sandwiched Between Viscous Fluids

##### doi: 10.3879/j.issn.1000-0887.2010.12.003
• Rev Recd Date: 2010-10-23
• Publish Date: 2010-12-15
• The problem of unsteady oscillatory flow and heat transfer of porousmedia sandwiched between viscous fluids through a horizontal channel with isothermal wall temperatures was considered.The flow in the porous medium was modeled using Brinkm an equation.The governing partial differential equations were transformed to ordinary differential equations by collecting the non-periodic and periodic terms and closed-formsolutions for each region were found after applying the boundary and interface conditions.The influence of physical parameters such as porous parameter,frequency parameter,periodic frequency parameter,viscosity ratios,conductivity ratios and Prandtl number on the velocity and tem perature fields were computed numerically and presented graphically.In addition,the numerical values of the heat transfer rate at the top and bottom walls are derived and were tabulated.
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