Analytical Solution of Adiabatic Laminar Flow-in Narrow Rectangular Gap under Heaving Condition

Adiabatic laminar flow in narrow rectangular gap under heaving condition was analytically studied in this paper. First of all, reasonable assumptions were made and the governing equations of flow were hence simplified. Then analytical solutions were derived based on fixed inlet flow rate and fixed pressure drop boundary conditions. Thus the influences of heaving condition on velocity profile, pressure drop and frictional coefficient can be studied quantitatively.