An Extended Model for Short Wavelength Peristaltic Flow

Abstract

Peristaltic flow theory is often based on the long wavelength assumption, which can be approximated by small wave number cases. This paper presents a unique approach to analyze the peristaltic flow for both short and long wavelength domains. The governing equation considering wave number is solved by combining eigen function expansion and generalized inversion methods, which is first proposed to solve peristaltic flow problems. In particular, the modified Navier-Stokes equations, considers the effects of the Trouton’s elongational viscosity. The result indicates that this computational method efficiently reduces the dimensions and condition number of the matrix. The sketch of stream function shows that a trapped bolus also occurs in short wave peristaltic flow. The validity of this computational approach is demonstrated by comparing these results with existing theories.