A similarity theory for natural convection from a horizontal plate for prescribed heat flux or wall temperature

Samanta, Sudip Kumar; Guha, Ayan

doi:10.1016/j.ijheatmasstransfer.2012.02.031

Cited by 45 publications

(31 citation statements)

References 14 publications

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“…The dimensionless boundary layer equations are transformed into suitable form for numerical integration. An efficient It is worthy to mention that present numerical results are also compared with Samanta and Guha [14], Mehrizi et al [15], Deswita et al [16], Raju et al [17], and Lin et al [18] for = 0.0 and = 0.0 and are entered in Tables 1 and 2. These tables contain the comparison of (0) and (0) for different Prandtl number, Pr.…”

Section: Resultsmentioning

confidence: 95%

Natural Convection Flow over Wavy Horizontal Surface

Siddiqa

Hossain

2013

Advances in Mechanical Engineering

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In this paper boundary layer analysis is performed over a heated horizontal wavy surface. The governing boundary layer equations are transformed into parabolic partial differential equations with the help of appropriate coordinate transformation. Parabolic partial differential equations are then solved numerically with finite difference scheme, seeking details of the momentum and energy fields.Step by step computations are done for the upstream, downstream, and entire regimes. The numerical results are thoroughly discussed in terms of local skin friction and local Nusselt number coefficients for various parameters, like phase shift parameter, , and amplitude of the wavy surface, . In addition, streamlines and isotherms are also drawn in order to visualize velocity and temperature distributions, respectively, within the boundary layer region.

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Section: Resultsmentioning

confidence: 95%

Natural Convection Flow over Wavy Horizontal Surface

Siddiqa

Hossain

2013

Advances in Mechanical Engineering

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“…[32] (the slight difference being that the scaling here has been done on an energy scale resulting in the Grashof number being replaced by the Rayleigh number), we now introduce a sim ilarity variable // defined by if=^C Ra,)1/5 (19) where the local Rayleigh number is given by…”

Section: Discussionmentioning

confidence: 99%

“…The values of the buoyancy ratio parameter Nr and the thermophoretic parameter Nt, as defined in Eqs. (32) and (34), are positive for the flow above a heated plate and negative for the flow beneath a cooled plate. The appropriate signs of Nr and Nt are reflected in Eqs.…”

Section: 1mentioning

confidence: 99%

Natural Convective Boundary Layer Flow of Nanofluids Above an Isothermal Horizontal Plate

Pradhan

Samanta

Guha

2014

Journal of Heat Transfer

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The natural convective boundary layer flow of a nanofluid over an isothermal horizontal plate is studied analytically. The model used for the nanofluid accounts for the effects of Brownian motion and thermophoresis. The analysis shows that the velocity, temperature, and nanoparticle volume fraction profiles in the respective boundary layers depend not only on the Prandtl number (Pr) and Lewis number (Le) but also on three additional dimensionless parameters: the Brownian motion parameter Nb, the buoyancy ratio parameter Nr and the thermophoresis parameter Nt. The velocity, temperature, and nanoparticle volume fraction profiles for the nanofluid are found to have a weak depend ence on the values of Nb, Nr, and Nt. The effect of the above-mentioned parameters on the local skin-friction coefficient and Nusselt number has been studied extensively. It has been observed that as Nr inci eases, the local skin-friction coefficient decreases whereas local Nusselt number remains almost constant. As Nb or Nt increases, the local skinfriction coefficient increases whereas the local Nusselt number decreases.

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“…Using the generalized stretching transformation [21], the similarity forms of Eqs. (1-3) can be obtained as…”

Section: Mathematical Formulation For Variable Heat Fluxmentioning

confidence: 99%

“…(3) can be obtained using the following transformation [21] θ wt T − T ∞ bL n x n gη (18) where η y 2x p Substituting Eq. (18) into Eq.…”

Section: Mathematical Formulation For Variable Surface Temperaturementioning

confidence: 99%

Similarity Theory for Forced Convection over Horizontal Plates

Samanta

Guha

2013

Journal of Thermophysics and Heat Transfer

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A similarity theory for natural convection from a horizontal plate for prescribed heat flux or wall temperature

Cited by 45 publications

References 14 publications

Natural Convection Flow over Wavy Horizontal Surface

Natural Convection Flow over Wavy Horizontal Surface

Natural Convective Boundary Layer Flow of Nanofluids Above an Isothermal Horizontal Plate

Similarity Theory for Forced Convection over Horizontal Plates

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