Yürüsoy M.Pakdemirli M.Yilbaş B.S.2024-07-222024-07-22200809544062http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19054The flow of non-Newtonian fluid in between two parallel plates at different temperatures is considered. A third-grade fluid with temperature-dependent viscosity is considered in the analysis and the Reynolds model used to account for it. Approximate analytical solutions for the velocity and temperature profiles are found using perturbation techniques. It is found that the influence of the non-Newtonian parameter and viscosity index is more pronounced in the region of the plate surfaces where the rate of fluid strain and temperature gradients are high. © IMechE 2008.EnglishApproximation theoryNon Newtonian flowPerturbation techniquesReynolds numberStrainTemperature distributionViscosityApproximation theoryPerturbation techniquesReynolds numberStrainTemperature distributionViscosityParallel flowThird-grade fluidNon Newtonian flowPerturbation solution for a third-grade fluid flowing between parallel platesArticle10.1243/09544062JMES872