The Poiseuille-Couette flow in microscale gap between parallel plates, driven by the simultaneous pressure gradient and the movement of the upper plate in the tangential direction, has been studied numerically with the finite volume method. The heights of the studied gaps are 40μm, 70μm and 100μm. The lengths of the gaps are fixed at 25mm. The flow regime is laminar with the pressure difference between the inlet and the outlet varying from 1 MPa to 10 MPa and the tangential velocity of the moving wall varying from 0 to 20 m/s. Due to the effect of viscous dissipation and temperature dependent viscosity, the Poiseuille-Couette flow deviates from the classical flow. The differences of temperature distribution, Poiseuille number, velocity profiles, flow rate and plate friction are discussed in detail.

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