On the mixed convection hydrodynamic force on a sphere

Mograbi, Elaad; Bar‐Ziv, Ezra

doi:10.1016/j.jaerosci.2004.12.002

Cited by 12 publications

(6 citation statements)

References 6 publications

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“…Our results for drag coefficient for Re P 1, presented in Fig. 16b, does not follow the empirical formula due to Mograbi and Bar-Ziv [26,27]. Thus, for the range of Gr considered in this paper a weak non-linearity assumption for the mixed convection flow is not valid.…”

Section: Resultscontrasting

confidence: 60%

“…The drag coefficient at low Reynolds number, which is mainly due to the viscous force, is enhanced with the increase of Ri. Based on the weak interaction between free and forced convection Mograbi and BarZiv [26,27] proposed an empirical expression for the hydrodynamic drag on a sphere at low range of Reynolds number and Grashof number. They compared the empirical formula with the numerical result for Gr = 10 À2 and 10 À4 with 0 6 Ri 6 1 and found a large discrepancy when Ri is O(1) at Gr = 10 À2 .…”

Section: Resultsmentioning

confidence: 99%

“…Mograbi and Bar-Ziv [26,27] presented a combined numerical and experimental study on steady state mixed convection around a small spherical particle in the diameter range of 10-200 for small values of Reynolds, 0-0.3, and Grashof number in the range 0-0.1. They considered both buoyancy aided and opposed flows and proposed a qualitative expression for the drag force induced on the particle for low Reynolds number and Grashof number.…”

Section: Introductionmentioning

confidence: 99%

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Mixed convection from an isolated spherical particle

Bhattacharyya

Singh

2008

International Journal of Heat and Mass Transfer

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Section: Resultscontrasting

confidence: 60%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mixed convection from an isolated spherical particle

Bhattacharyya

Singh

2008

International Journal of Heat and Mass Transfer

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“…Wong et al [106] solved the full Navier-Stokes and energy equation of an isothermal sphere in combined convection by a finite element method. We mention also the relatively recent papers on this problem by Jenny and Dušek [115], Jenny et al [116], Mograbi and Bar-Ziv [117], [118] and Mebarek et al [119]. Later, Kumari and Nath [108] studied the unsteady mixed convection with double diffusion over a horizontal cylinder and sphere within a porous medium.…”

Section: Introductionmentioning

confidence: 98%

Chapter 6. Application of the Keller-box Method to More Advanced Problems

Vajravelu¹,

Prasad²

2014

Keller-Box Method and Its Application

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In this chapter, we discuss the application of the Keller-box method to solve more advanced coupled nonlinear boundary value problems of one or more independent variables. In Sections 6.1 and 6.3, the effects of variable fluid properties on the boundary layer flow and heat transfer of a fluid over a flat sheet are studied; whereas in Section 6.2, we study dusty fluid flow over a stretching sheet. The hydromagnetic mixed convection boundary layer flow of an electrically conducting fluid over a non-isothermal wedge and sphere under different physical situations are analyzed in Sections 6.4 and 6.5. In Section 6.6, we study the flow and heat transfer of an electrically conducting viscoelastic fluid past a semi-infinite plate.

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“…An analytical solution is rarely obtained in such a configuration. Mograbi and Bar-Ziv [5] have shown that a approximated solution can be obtained by the way of dimensionless numbers: the Grashof number is useful to estimate the natural convection effects. As mixed convection occurs in the present problem, heat transfer must be defined by both Re and Gr numbers.…”

Section: Introductionmentioning

confidence: 99%