### AN ANALYSIS OF A FLUID FLOW IN A CHANNEL WITH UNIFORM HEATED WALLS

#### Abstract

*A problem of a mixed convection flow in a channel filled with a porous medium is presented in the paper. The walls of the channel are heated by a uniform heat flux. Mathematical models are presented for the case of vertical parallel plates and in the case of an inclined channel. The velocity at the channel entrance is given for the upward (assisting) flow. Analytical and numerical solutions of the problem for different parameters involved are presented and discussed.The problem of replacing the fluid which saturates the porous matrix by a nanofluid is also considered by a mathematical model.*

*Key words:**Mathematical Model, Mixed Convection, Porous Medium, Differential Equations, Nanofluids.*

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