Viscous dissipation effects on the motion of Casson fluid over an upper horizontal thermally stratified melting surface of a paraboloid of revolution: boundary layer analysis
type: Item
instance of: scholarly article
title: Viscous dissipation effects on the motion of Casson fluid over an upper horizontal thermally stratified melting surface of a paraboloid of revolution: boundary layer analysis
zbMATH Open document ID: 1437.76053
DOI: 10.1155/2017/1697135
author: T. M. Ajayi
author: A. J. Omowaye
author: Isaac Lare Animasaun
published in: Journal of Applied Mathematics
publication date: 2019-03-18T00:00:00Z
review text: Summary: The problem of a non-Newtonian fluid flow past an upper surface of an object that is neither a perfect horizontal/vertical nor inclined/cone in which dissipation of energy is associated with temperature-dependent plastic dynamic viscosity is considered. An attempt has been made to focus on the case of two-dimensional Casson fluid flow over a horizontal melting surface embedded in a thermally stratified medium. Since the viscosity of the non-Newtonian fluid tends to take energy from the motion (kinetic energy) and transform it into internal energy, the viscous dissipation term is accommodated in the energy equation. Due to the existence of internal space-dependent heat source; plastic dynamic viscosity and thermal conductivity of the non-Newtonian fluid are assumed to vary linearly with temperature. Based on the boundary layer assumptions, suitable similarity variables are applied to nondimensionalized, parameterized and reduce the governing partial differential equations into a coupled ordinary differential equations. These equations along with the boundary conditions are solved numerically using the shooting method together with the Runge-Kutta technique. The effects of pertinent parameters are established. A significant increases in \(\operatorname{Re}_x^{1/2} C_{fx}\) is guaranteed with \(S_t\) when magnitude of \(\beta\) is large. \(\operatorname{Re}_x^{1/2}C_{fx}\) decreases with \(E_c\) and \(m\).
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 80A19
zbMATH DE Number: 7037461
Wikidata QID: Q59145132
describes a project that uses: bvp4c
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/1697135
OpenAlex ID: W2568041230
cites work: Boundary Layer over a Thin Needle
cites work: Laminar Free-Convection Heat Transfer from a Needle
cites work: Mathematical modeling of boundary layer flow over a moving thin needle with variable heat flux
cites work: Boundary layer flow over a stretching sheet with variable thickness
cites work: Effects of thermal radiation and viscous dissipation on boundary layer flow of nanofluids over a permeable moving flat plate
cites work: Unsteady mixed convection heat transfer along a vertical stretching surface with variable viscosity and viscous dissipation
cites work: Heat transfer in MHD flow with pressure gradient, suction and injection
cites work: Q3551120
cites work: On the melting of a semi-infinite body of ice placed in a hot stream of air
cites work: Melting heat and mass transfer in stagnation point micropolar fluid flow of temperature dependent fluid viscosity and thermal conductivity at constant vortex viscosity
cites work: Q5532416
cites work: Temperature-dependent viscosity and thermal conductivity effects on combined heat and mass transfer in MHD three-dimensional flow over a stretching surface with Ohmic heating
cites work: Thermal criticality and entropy analysis for a variable viscosity Couette flow
cites work: HEAT AND MASS TRANSFER IN A PIPE WITH MOVING SURFACE: EFFECTS OF VISCOSITY VARIATION AND ENERGY DISSIPATION
cites work: Q5324333
cites work: Study of hydromagnetic heat and mass transfer flow over an inclined heated surface with variable viscosity and electric conductivity
cites work: Laminar free-convection over a vertical isothermal plate with uniform blowing or suction in water with variable physical properties
cites work: Computational methods in engineering boundary value problems
cites work: A common error made in investigation of boundary layer flows
cites work: A BVP solver based on residual control and the Maltab PSE
cites work: Q2833195
DBLP publication ID: journals/jam/MathewJL17
description: scientific article; zbMATH DE number 7037461