Natural convection boundary layer flow of fluid with temperature-dependent viscosity from a horizontal elliptical cylinder with constant surface heat flux

Cheng, Ching‐Yang

doi:10.1016/j.amc.2010.05.011

Cited by 13 publications

(8 citation statements)

References 16 publications

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“…They also found that the local Nusselt number increases with Prandtl number, decreases with increased Eckert number. Ching and Cheng [50] studied the temperature-dependent viscosity effects on natural convection boundary layer in a horizontal elliptical cylinder with constant surface heat flux, and showed that an increment in the viscosity variation parameter tends to accelerate the fluid flow near the surface and increase the maximum velocity, thus decreasing the velocity boundary layer thickness. Increasing viscosity variation parameter, the surface temperature tends to decrease, thus increasing the local Nusselt number.…”

Section: Introductionmentioning

confidence: 99%

Effect of rotational speed modulation on heat transport in a fluid layer with temperature dependent viscosity and internal heat source

Bhadauria

Kiran

2014

Ain Shams Engineering Journal

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In this paper, a theoretical investigation has been carried out to study the combined effect of rotation speed modulation and internal heating on thermal instability in a temperature dependent viscous horizontal fluid layer. Rayleigh-Be´nard momentum equation with Coriolis term has been considered to describe the convective flow. The system is rotating about it is own axis with non-uniform rotational speed. In particular, a time-periodic and sinusoidally varying rotational speed has been considered. A weak nonlinear stability analysis is performed to find the effect of modulation on heat transport. Nusselt number is obtained in terms of amplitude of convection and internal Rayleigh number, and depicted graphically for showing the effects of various parameters of the system. The effect of modulated rotation speed is found to have a stabilizing effect for different values of modulation frequency. Further, internal heating and thermo-rheological parameters are found to destabilize the system. Ó 2014 Production and hosting by Elsevier B.V. on behalf of Ain Shams University.

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Section: Introductionmentioning

confidence: 99%

Effect of rotational speed modulation on heat transport in a fluid layer with temperature dependent viscosity and internal heat source

Bhadauria

Kiran

2014

Ain Shams Engineering Journal

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“…Pal and Mondal [24] examined the influence of temperature-dependent viscosity and thermal radiation on MHD-forced convection over a non-isothermal wedge. Ching and Cheng [25], investigated temperature viscosity effects on natural convection for boundary layer flow. Nadeem and Akbar [25,26], studied the effects of temperature-dependent viscosity on the peristaltic flow of a Jeffrey-six constant fluid in a uniform vertical tube.…”

Section: Introductionmentioning

confidence: 99%

“…Ching and Cheng [25], investigated temperature viscosity effects on natural convection for boundary layer flow. Nadeem and Akbar [25,26], studied the effects of temperature-dependent viscosity on the peristaltic flow of a Jeffrey-six constant fluid in a uniform vertical tube. However, most of these studies are done with a steady temperature gradient across the fluid layer.…”

Section: Introductionmentioning

confidence: 99%

Thermo-Rheological Effect on Weak Nonlinear Rayleigh-Benard Convection under Rotation Speed Modulation

Manjula¹,

Kiran²

2023

Boundary Layer Flows - Modelling, Computation, and Applications of Laminar, Turbulent Incompressible and Compressible Flows

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The effects of rotation speed modulation and temperature-dependent viscosity on Rayleigh-Benard convection were investigated using a non-autonomous Ginzburg-Landau equation. The rotating temperature-dependent viscous fluid layer has been considered. The momentum equation with the Coriolis term has been used to describe finite-amplitude convective flow. The system is considered to be rotating about its vertical axis with a non-uniform rotation speed. In particular, we assume that the rotation speed is varying sinusoidally with time. Nusselt number is obtained in terms of the system parameters and graphically evaluated their effects. The effect of the modulated system diminishes the heat transfer more than the un-modulated system. Further, thermo-rheological parameter VT is found to destabilize the system.

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“…Pal and Mondal [25], examined the influence of temperaturedependent viscosity and thermal radiation on MHD-forced convection over a non-isothermal wedge. Ching and Cheng [26], studied the temperature-dependent viscosity effects on the natural convection boundary layer on a horizontal elliptical cylinder with constant surface heat flux. Nadeem and Akbar [27], studied the effects of temperature dependent viscosity on the peristaltic flow of a Jeffrey-six constant fluid in a uniform vertical tube.…”

Section: Introductionmentioning

confidence: 99%

Study of heat transport in a temperature-dependent viscous liquid under temperature modulation

Bhadauriaa

2014

MATEC Web of Conferences

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Abstract. The effect of time-periodic temperature modulation on thermal instability in a temperaturedependent viscous fluid layer has been investigated by performing a weakly nonlinear stability analysis. The amplitude of temperature modulation is considered to be very small, and the disturbances are expanded in terms of power series of amplitude of convection. The Ginzburg−Landau equation for the stationary mode of convection is obtained and consequently the effect of temperature modulation on heat transport has been investigated. Effect of various parameters has been explained graphically. It has been found that, an increment in the values of thermo-rheological parameter and Prandtl number is to enhance the heat transport in the system. Further, temperature modulation can be used to control the heat transport effectively as external mechanism to the system.

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Natural convection boundary layer flow of fluid with temperature-dependent viscosity from a horizontal elliptical cylinder with constant surface heat flux

Cited by 13 publications

References 16 publications

Effect of rotational speed modulation on heat transport in a fluid layer with temperature dependent viscosity and internal heat source

Effect of rotational speed modulation on heat transport in a fluid layer with temperature dependent viscosity and internal heat source

Thermo-Rheological Effect on Weak Nonlinear Rayleigh-Benard Convection under Rotation Speed Modulation

Study of heat transport in a temperature-dependent viscous liquid under temperature modulation

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