Suitable heat transfer model for self-similar laminar boundary layer in power law fluids

Abstract

The classical power law non-Newtonian fluids energy boundary layer equation is proved improper to describe the self-similar heat transfer. A theoretical analysis for momentum and energy boundary layer transfer behavior is made and the full similarity heat boundary layer equation is developed, which may be characterized by a power law relationship between shear stress and velocity gradient with the Falkner-Skan equation as a special case. Both analytical and numerical solutions are presented for momentum and energy boundary layer equations by using the similarity transformation and shooting technique and the associated transfer charactersfics are discussed.

Hasonlósági transzformáció alkalmazása nem-newtoni közeg áramlásában

“…A határréteg áramlás elméletét alkalmazzák például gázturbinák működtetésének tervezésénél, polimer lemeztáblák és lemezhártyák gyártásánál, papírgyártás és üvegfújás során, műanyagok extrudálásánál, a geofizikában, DOI: 10.33895/mtk-2015.03. 35 geotermikus energia hasznosításánál [1]- [6].…”

“…A  T hőmérsékletű folyadék pozitív féltengely mentén áramlik állandó  U sebességgel. A modell a Navier-Stokes egyenletekből származtatott folytonossági és mozgásegyenlettel írja le a feltételezett áramlást [3], [6].…”

A New Model for Plastic-Viscoelastic Magnetohydrodynamic (MHD) Flow with Radiation Thermal Transfer

“…We assume that the temperature differences within the flow such as that the term 4 θ may be expressed as a linear function of temperature. Hence, expanding 4 θ in a Taylor series about a free stream temperature ∞ θ and neglecting higher-order terms we get…”

“…Many constitutive equation models have been proposed to describe the flow and heat transfer mechanisms for these fluids, among them, the Ostwaaldde Waele model [1] (also called the power-law model with kinematic viscosity 1 / n u y ν γ − = ∂ ∂ ) has gained much acceptance. Recently, some new energy constitutive equation models have been proposed by Pop et al [2][3] and Zheng et al [4][5][6][7] by taking the effects of power law kinematic viscosity into account and the associated flow and heat transfer characteristics are analyzed.…”

Numerical Methods for Solving Energy Equations of Dilatant Fluid Flow

“…They presented a theoretical analysis of fully-developed convective heat transfer of power law fluids in a circular tube as an example to illustrate the assumption [9][10][11].…”