Spectral‐quasi‐linearization method and multiple regression analysis of reiner‐philippoff fluid flow

Abstract

AbstractIn this paper, the flow and heat transmission of Reiner‐Philippoff fluid (RPF) past a stretchable sheet is investigated theoretically and analyzed by using the numerical and statistical tools. A set of similarity transformations is used to non‐dimensionalize the governing equations. These expressions are numerically evaluated by employing the Spectral‐Quasi‐Linearization Method (SQLM). The numerical values are validated with the published results, and an excellent agreement is noticed in limiting cases. The results are presented graphically for different cases of fluids such as dilatant, Newtonian and pseudo‐plastic fluids for various physical parametric values include Bingham number, thermal buoyancy parameter, inclination angle parameter. Further, the behavior of fluid velocity and its temperature profiles are discussed within the boundary layer regime. Multiple regression process is used to analyze the results of the heat transmission rate and skin‐friction coefficient against distinct physical parametric values. It is observed that the dilatant fluid and pseudo‐plastic fluid show a diverse behavior as Bingham's number increases. With the enhancement in the inclination angle parameter, the fluid temperature risen for dilatant, pseudoplastic, and Newtonian fluids. This type of flow model over the stretching sheet has gained eminent importance in fluid dynamics due to their enormous applications in engineering and environment such as drawing of plastic sheets, metal and polymer extrusion, liquid coatings on photographic films, and so forth.