Upper-Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Melting Surface Situated in Hot Environment Subject to Thermal Stratification

Omowaye, Adeola John; Animasaun, Isaac Lare

doi:10.18869/acadpub.jafm.68.235.24939

Cited by 37 publications

(38 citation statements)

References 22 publications

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“…According to the explanations of Eugene C. Bingham and Markus Reiner in Poole, Deborah number is the ratio of time it takes for a material to adjust to deformations. Physically, at high Deborah number, UCM flow corresponds to solid‐like behavior and low Deborah numbers to fluid‐like behavior; see Sadeghy et al., and Omowaye and Animasaun . All these explain the reason why Deborah number has significant effect on local skin friction coefficient and local heat transfer when the magnitude of volume fraction ϕ is small.…”

Section: Numerical Solution Results and Discussionmentioning

confidence: 98%

Heat transfer in the flow of blood‐gold Carreau nanofluid induced by partial slip and buoyancy

Kọrikọ

Animasaun

Mahanthesh

et al. 2018

Heat Trans. Asian Res.

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Dynamics of blood containing gold nanoparticles on a syringe and other objects with a nonuniform thickness is of importance to experts in the industry. This study presents the significance of partial slip (i.e. combination of linear stretching and velocity gradient) and buoyancy on the boundary layer flow of blood-gold Carreau nanofluid over an upper horizontal surface of a paraboloid of revolution (uhspr). In this report, the viscosity of the Carreau fluid corresponding to an infinite shear-rate is assumed as zero, meanwhile, the viscosity corresponding to zero shear-rate, density, thermal conductivity, and heat capacity were assumed to vary with the volume fraction of nanoparticles. The governing equation that models the transport phenomenon were non-dimensionalized and parameterized using suitable similarity variables and solved numerically using classical Runge-Kutta method with shooting techniques and MATLAB bvp4c package for validation. The results show that temperature distribution across the flow decreases more significantly with buoyancy-related parameter when the influence of partial slip was maximized. Maximum velocity of the flow is ascertained at larger values of partial slip and buoyancy parameters. At smaller values of Deborah number and large values of volume fraction, 806

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Section: Numerical Solution Results and Discussionmentioning

confidence: 98%

Heat transfer in the flow of blood‐gold Carreau nanofluid induced by partial slip and buoyancy

Kọrikọ

Animasaun

Mahanthesh

et al. 2018

Heat Trans. Asian Res.

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“…Adegbie et al [31] stated that the temperature of UCM fluid flow over a melting surface is an increasing function of variable thermal conductivity parameter. Omowaye and Animasaun [32] investigated boundary layer analysis in the flow of upper convected Maxwell fluid flow. Due to the fact that temperature at the wall is zero, classical temperaturedependent viscosity and thermal conductivity linear models were modified to suit the case of both melting heat transfer Journal of Applied Mathematics 3 and thermal stratification.…”

Section: Journal Of Applied Mathematicsmentioning

confidence: 99%

“…Upper horizontal thermally stratified melting object of a paraboloid of revolution temperature-dependent viscosity and thermal conductivity models proposed in [46] and adopted in [31,32] as…”

Section: Id ) D U E T O P La S T Ic D Y N a M Ic V Is C O S It Y O C mentioning

confidence: 99%

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

Ajayi

Omowaye

Animasaun

2017

Journal of Applied Mathematics

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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 Re 1/2 is guaranteed with when magnitude of is large. Re 1/2 decreases with and .

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“…Maxwell fluid model is useful for polymers of low molecular weight. A review of non-Newtonian Maxwell fluid flow problems with heat and/or mass transfer may be found in many researchers [1][2][3][4][5][6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

MHD Maxwell Reactive Flow with Velocity Slip Over a Stretching Surface with Prescribed Heat Flux in the Presence of Thermal Radiation in a Porous Medium

Baoku¹,

Falade

2019

JAMCS

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This article is concerned with the study of heat and mass transfer of a MHD reactive flow of an upper-convected Maxwell fluid model over a stretching surface subjected to a prescribed heat flux with velocity slip effect in a Darcian porous medium in the presence of thermal radiation and internal heat generation/absorption. The basic boundary layer governing partial differential equations are transformed into a set of coupled ordinary differential equations, which are solved numerically using Runge-Kutta-Fehlberg integration scheme with shooting technique. The far field boundary conditions are asymptotically satisfied to support the accuracy of the numerical computations and the results obtained. The velocity, temperature and species concentration profiles are enhanced by increasing values of velocity slip parameter with Hartmann number, heat generation/absorption parameter and order of chemical reaction parameter respectively. Increments in the values of velocity slip parameter, Hartmann number, rate of chemical reaction parameter and Prandtl number boost the wall shear stress, dimensionless surface temperature is increased by increasing values of Deborah number, heat generation/absorption and order of chemical reaction parameters while local rate of mass transfer is enhanced by increments in the values of Hartmann number, suction velocity, Darcian porous medium, rate of chemical reaction and velocity slip parameters. The presence of velocity slip on the flow distribution is found to be of great significance to the study.

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Upper-Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Melting Surface Situated in Hot Environment Subject to Thermal Stratification

Cited by 37 publications

References 22 publications

Heat transfer in the flow of blood‐gold Carreau nanofluid induced by partial slip and buoyancy

Heat transfer in the flow of blood‐gold Carreau nanofluid induced by partial slip and buoyancy

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

MHD Maxwell Reactive Flow with Velocity Slip Over a Stretching Surface with Prescribed Heat Flux in the Presence of Thermal Radiation in a Porous Medium

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