Laminar flow in the entrance region of parallel plates
Abstract
Explicit solutions are obtained for the pressure and velocity field for flow between parallel plates at low Reynolds numbers by linearizing the inertia terms in the NavierStokes equations, parallel and perpendicular to the flow. A uniform inlet velocity is assumed. The procedure permits an arbitrary inlet velocity symmetric with respect to the axis of flow. The distance from the inlet to the point where centerline velocity reaches 99% of the asymptotic value is in good agreement with the results reported by Morihara et al. (1973) for all Reynolds numbers examined (1, 10, 20, 50, 100, 200, 500, 1000). The size of the pressure gradient increases with decreasing downstream distance.
 Publication:

ASME Journal of Applied Mechanics
 Pub Date:
 March 1976
 Bibcode:
 1976ATJAM..43..186N
 Keywords:

 Inlet Flow;
 Inlet Pressure;
 Laminar Flow;
 Parallel Plates;
 Velocity Distribution;
 Boundary Layer Flow;
 Flow Distribution;
 Linear Equations;
 NavierStokes Equation;
 Parallel Flow;
 Pressure Distribution;
 Fluid Mechanics and Heat Transfer