On the study of viscoelastic Walters' B fluid in boundary layer flows
type: Item
instance of: scholarly article
title: On the study of viscoelastic Walters' B fluid in boundary layer flows
zbMATH Open document ID: 1264.76017
DOI: 10.1155/2012/861508
author: Seyed Ali Madani Tonekaboni
author: Ramin Abkar
author: Reza Khoeilar
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: Viscoelastic Walters' B fluid flows for three problems, stagnation-point flow, Blasius flow, and Sakiadis flow, have been investigated. In each problem, Cauchy equations are changed to a nondimensional differential equations using stream functions and with assumption of boundary layer flow. The fourth-order predictor-corrector finite-difference method for solving these nonlinear differential equations has been employed. The results that have been obtained using this method are compared with the results of the last studies, and it is clarified that this method is more accurate. It is also shown that the results of last study about Sakiadis flow of Walter's B fluid are not true. In addition, the effects of order of discretization in the boundaries are investigated. Moreover, it has been discussed about the valid region of Weissenberg numbers for the second-order approximation of viscoelastic fluids in each case of study.
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 76A05
zbMATH DE Number: 6173648
Wikidata QID: Q58912294
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/861508
OpenAlex ID: W1990580419
cites work: Sakiadis flow with variable fluid properties revisited
cites work: Q5422864
cites work: Asymptotic suction profiles for the Blasius and Sakiadis flow with constant and variable fluid properties
cites work: Closed-form exact solutions of MHD viscous flow over a shrinking sheet
cites work: Radiation effect on MHD free-convection flow of a gas at a stretching surface with a uniform free stream
cites work: Q5736808
cites work: Similar solutions of the boundary layer equations for power law fluids
cites work: Similarity solutions of a class of laminar three-dimensional boundary layer equations of power law fluids
cites work: Solution of a viscoelastic boundary layer equation by orthogonal collocation
cites work: A note on the Falkner-Skan flows of a non-Newtonian fluid
cites work: Eigensolutions in Boundary-Layer Flow Adjacent to a Stretching Wall
cites work: Homotopy analysis method to Walter's B fluid in a vertical channel with porous wall
cites work: Peristaltic flow of Sisko fluid in a uniform inclined tube
cites work: Generalized Gear's method for computing the flow of a viscoelastic fluid
cites work: Local similarity solution for the flow of a ``second-grade'' viscoelastic fluid above a moving plate
cites work: Q4939496
cites work: A hybrid method for computing the flow of viscoelastic fluids
description: scientific article; zbMATH DE number 6173648