Nonsimilar solution of the laminar boundary layer in an oscillatory flow by an integral matrix method
Gastrock, Barry Allen
Miller, James A.
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The development of a numerical procedure for the treatment of nonsimilar, unsteady, laminar boundary layers is presented. The solution is obtained from the laminar, isothermal, incompressible boundary layer equations employing a modification of the integral matrix procedure of Bartlett and Kendall. Solutions of example problems are presented for steady Blasius and Howarth flows, and for oscillating Blasius flow. Agreement with the known classical results is satisfactory and establishes the general feasibility of the method. Core storage requirements of 130,000 bytes allow consideration of as many as 25 nodal points across the boundary layer, 50 time increments per oscillation cycle and 50 streamwise stations. Solution of oscillating Blasius flow considering 8 nodal points and 16 time increments requires 13.49 seconds for one streamwise station utilizing IBM 360/67 time sharing capabilities.
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