Transformation Calculus of the Variables in an Unsteady Pipe Flow

Abstract

If the flow is laminar and axially symmetrical, transfer functions which relate variables in unsteady pipe flow can be obtained in the form of functions which contain the Bessel function. The author has presented the approximate functions of the transfer functions in another report. The present report explains the transformation calculus which is the technique for the estimation of one variable from another variable in unsteady pipe flow. By applying the approximate transfer function, the transformation calculus becomes quite efficient. The technique of transformation calculus explained in this paper is expected to be applied to the indirect measurement of the variables in unsteady pipe flow.