Free convection with a nonlinear dependence of density of temperature: Plane problems

This study discusses the impact of the nonlinear relationship between nonlinear density-temperature and density-concentration on a nanofluid flow with Arrhenius activation energy and sinusoidal wall temperature variations. The highly nonlinear partial differential equations that model the nanofluid flow are solved using the bivariate spectral local linearization method. In literature, it is known that certain thermal systems perform better at high temperatures. This performance may be influenced by the nonlinear temperature-concentration-dependent density relation, which accounts for optimal thermal and solutal transport in such systems. This study explores the impact of some physical parameters on the fluid transport properties, and the results show, among other findings, that the nonlinear density-temperature leads to increased fluid velocity. In contrast, the nonlinear density-concentration reduces the fluid speed. This study provides new insights into the impact of nonlinear density-temperature and density-concentration on fluid properties. Additionally, there is a development of destructive chemical reactions in the nanoparticle volume fraction profiles due to the Arrhenius activation energy.

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“…Furthermore, to reduce the complexity of Equations ( 10)- (13) and boundary conditions (14), the stream function…”

Section: Prmentioning

confidence: 99%

Numerical study of a nonlinear density relation and binary reaction on nanofluid flow over a heated vertical surface with sinusoidal wall temperature

Oyelakin

Sibanda

2021

AIChE Journal

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“…For accurate prediction of the flow, heat and mass transfer in the boundary layer, the incorporation of nonlinear density variation with temperature and concentration becomes non-negotiable. In the light of this, a natural convective flow with nonlinear density variation with temperature on an isothermal sheet was carried out by Korovkin and Andrievskii [34], Prasad et al [35] evaluated nonlinear convective transport of a Newtonian fluid in a porous medium while such investigation was analytically conducted via perturbation technique by Athira et al [36] on a reactive Newtonian fluid with induced magnetic influence. Mandal and Mukhopadhyay [37] engaged micropolar fluid to discuss such a concept with radiation effect.…”

Section: Introductionmentioning

confidence: 99%

Quadratic Mixed Convection Stagnation-Point Flow in Hydromagnetic Casson Nanofluid over a Nonlinear Stretching Sheet with Variable Thermal Conductivity

Fatunmbi

Okoya

2021

DDF

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An analysis of nonlinear mixed convection transport of hydromagnetic Casson nanofluid over a nonlinear stretching sheet near a stagnation point is deliberated in this study. The flow is confined in a porous device in the presence of thermophoresis, Ohmic heating, non-uniform heat source with temperature-dependent thermal conductivity associated with haphazard motion of tiny particles. The transport equations are translated from nonlinear partial differential equations into ordinary ones via similarity transformation technique and subsequently tackled with shooting method coupled with Runge-Kutta Fehlberg algorithm. The significant contributions of the embedded parameters on the dimensionless quantities are graphically depicted and deliberated while the numerical results strongly agree with related published studies in the limiting conditions. It is found that a rise in the magnitude of Casson fluid parameter decelerates the fluid flow while enhancing the viscous drag and thermal profiles. The inclusion of the nonlinear convection term aids fluid flow whereas heat transfer reduces with growth in the thermophoresis and Brownian motion terms.

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“…It is of practical importance in geothermal and engineering applications; for example, the residual warm water discharged from a geothermal power plant is usually disposed off from wells through subsurface reinjection. Using a parabolic temperature-density relationship, Korovkin and Andrievskii [17] investigated a fully developed free-convective flow above a horizontal linear heat source and on a flat impermeable vertical semi-infinite plate for three types of thermal boundary conditions, namely, an adiabatic surface, a constant temperature, and a constant heat flux on the surface. Vajravelu et al [18] studied the problem of free convection flow at a vertical flat plate embedded in a saturated porous medium in the presence of heat sources (or sinks) with nonlinear density temperature variation.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Nanofluid Flow over Heated Vertical Surface with Sinusoidal Wall Temperature Variations

Motsa

Awad

Khumalo

2014

Abstract and Applied Analysis

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The nonlinear density temperature variations in two-dimensional nanofluid flow over heated vertical surface with a sinusoidal wall temperature are investigated. The model includes the effects of Brownian motion and thermophoresis. Using the boundary layer approximation, the two-dimensional momentum, heat, and mass transfer equations are transferred to nonlinear partial differential equations form and solved numerically using a new method called spectral local linearisation method. The effects of the governing parameters on the fluid properties and on the heat and nanomass transfer coefficients are determined and shown graphically.

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Free convection with a nonlinear dependence of density of temperature: Plane problems

Cited by 3 publications

References 2 publications

Numerical study of a nonlinear density relation and binary reaction on nanofluid flow over a heated vertical surface with sinusoidal wall temperature

Numerical study of a nonlinear density relation and binary reaction on nanofluid flow over a heated vertical surface with sinusoidal wall temperature

Quadratic Mixed Convection Stagnation-Point Flow in Hydromagnetic Casson Nanofluid over a Nonlinear Stretching Sheet with Variable Thermal Conductivity

Nonlinear Nanofluid Flow over Heated Vertical Surface with Sinusoidal Wall Temperature Variations

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