Numerical Simulation of the Effect of Transient Shear Stress and Rate of Heat Transfer Around Different Positions of Sphere in the Presence of Viscous Dissipation

Ashraf, Muhammad; Fatima, Almas

doi:10.1115/1.4038841

Cited by 25 publications

(21 citation statements)

References 44 publications

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“…(1)-(5) along with boundary conditions (6), we separate steady and unsteady part by collecting orders O(є 0 ) and O(єe iωτ ). Then by following [33], we use primitive variable formulation obtain primitive form of steady part and unsteady part in terms of real and imaginary parts.…”

Section: The Governing Model and Flow Geometrymentioning

confidence: 99%

“…Garg et al [32] examined the convective boundary-condition outcomes on unsteady MHD flow over a porous plate in slip-flow regime numerically. Recently, variable density effects on oscillating mixed convection flow around a non-conducting cylinder has been investigated by Ashraf and Fatima [33] and then Ashraf and Ullah [34]. The non-linear ODE arising from non-isothermal heat transport was solved by Kilicman et al using HPM in [35] and Kadomtsev-Petviashvili and fractional KdV-Burgers and Potential KdV Equations, with existence and uniqueness results was investigated by Inc et al [36] and Hashemi et al [37].…”

Section: Introductionmentioning

confidence: 99%

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Surface temperature and free-stream velocity oscillation effects on mixed convention slip flow from surface of a horizontal circular cylinder

et al. 2020

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The present phenomena address the slip velocity effects on mixed convection flow of electrically conducting fluid with surface temperature and free stream velocity oscillation over a non-conducting horizontal cylinder. To remove the difficulties in illustrating the coupled PDE, the primitive variable formulation for finite dif?ference technique is proposed to transform dimensionless equations into primitive form. The numerical simulations of coupled non-dimensional equations are exam?ined in terms of fluid slip velocity, temperature, and magnetic velocity which are used to calculate the oscillating components of skin friction, heat transfer, and cur?rent density for various emerging parameters magnetic force parameter, ?, mixed convection parameter, ?, magnetic Prandtl number, ?, Prandtl number, and slip factor, SL. It is observed that the effect of slip flow on the non-conducting cylinder is reduced the fluid motion. A minimum oscillating behavior is noted in skin friction at each position but maximum amplitude of oscillation in heat transfer is observed at each position ? = ?/4 and 2?/3. It is further noticed that a fluid velocity increas?es sharply with the impact of slip factor on the fluid-flow mechanism. Moreover, due to frictional forces with lower magnitude between viscous layers, the rise in Prandtl number leads to decrease in skin fiction and heat transfer which is physi?cally in good agreement.

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Section: The Governing Model and Flow Geometrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Surface temperature and free-stream velocity oscillation effects on mixed convention slip flow from surface of a horizontal circular cylinder

et al. 2020

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“…Hayat et al [20,21] developed numerical mechanisms of MHD mixed convection flow of thixotropic nanomaterial and Burger's nanofluids in the presence of thermally stratified medium. Ashraf et al [22] and Ashraf and Fatima [23] have explored different heat transfer cases around magnetized shapes numerically. Sudhagar et al [24] computed the magnetic field effects on mixed convection flow model of a nanofluids around the surface of an isothermal vertical cone.…”

Section: Introductionmentioning

confidence: 99%

Periodic mixed convection flow along the surface of a thermally and electrically conducting cone

Ilyas

Ashraf

2020

THERM SCI

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The main aim of the present work is to highlight the significances of periodic mixed convection flow and heat transfer characteristics along the surface of magnetized cone by exerting magnetic field exact at the surface of the cone. The numerical simulations of coupled non-dimensional equations are computed in terms of velocity field, temperature and magnetic field concentration and then used to examine the periodic components of skin friction, ?w, heat transfer, qw, and current density, jw, for various governing parameters. A nice periodic behavior of heat transfer qw is concluded for each value of mixed convection parameter, ?, but maximum periodicity is sketched at ? = 50. It is also computed that the lower value of magnetic Prandtl number ? = 0.1 gets poor amplitude in current density but highest amplitude is sketched for higher ? = 0.5. The behavior of heat and fluid-flow in the pres?ence of aligned magnetic field is associated with the phase angle and amplitude of oscillation. It is also noted that due to the increase in magnetic force parameter, ?, there are wave like disturbances generate within the fluid layers. These disturbances are basically hydromagnetic waves which becomes more prominent as the strength of magnetic force parameter is increased.

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“…The thermophoresis transportation of spherical particles suspended in gas within a spherical-shaped cavity along with its material properties were examined by Li and Keh [24] analytically. The characteristics of the shear stress and heat transfer rate around the surface of a sphere are discussed in [25].…”

Section: Introductionmentioning

confidence: 99%

Computational Study of the Coupled Mechanism of Thermophoretic Transportation and Mixed Convection Flow around the Surface of a Sphere

et al. 2020

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The main goal of the current work was to study the coupled mechanism of thermophoretic transportation and mixed convection flow around the surface of the sphere. To analyze the characteristics of heat and fluid flow in the presence of thermophoretic transportation, a mathematical model in terms of non-linear coupled partial differential equations obeying the laws of conservation was formulated. Moreover, the mathematical model of the proposed phenomena was approximated by implementing the finite difference scheme and boundary value problem of fourth order code BVP4C built-in scheme. The novelty point of this paper is that the primitive variable formulation is introduced to transform the system of partial differential equations into a primitive form to make the line of the algorithm smooth. Secondly, the term thermophoretic transportation in the mass equation is introduced in the mass equation and thus the effect of thermophoretic transportation can be calculated at different positions of the sphere. Basically, in this study, some favorite positions around the sphere were located, where the velocity field, temperature distribution, mass concentration, skin friction, and rate of heat transfer can be calculated simultaneously without any separation in flow around the surface of the sphere.

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Numerical Simulation of the Effect of Transient Shear Stress and Rate of Heat Transfer Around Different Positions of Sphere in the Presence of Viscous Dissipation

Cited by 25 publications

References 44 publications

Surface temperature and free-stream velocity oscillation effects on mixed convention slip flow from surface of a horizontal circular cylinder

Surface temperature and free-stream velocity oscillation effects on mixed convention slip flow from surface of a horizontal circular cylinder

Periodic mixed convection flow along the surface of a thermally and electrically conducting cone

Computational Study of the Coupled Mechanism of Thermophoretic Transportation and Mixed Convection Flow around the Surface of a Sphere

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