Forced convection heat transfer for the fully-developed laminar flow of the cross fluid between parallel plates

Kim, Sun Kyoung

doi:10.1016/j.jnnfm.2019.104226

Cited by 12 publications

(9 citation statements)

References 28 publications

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“…Once q c (r) is obtained, the Nusselt number can be evaluated right away by integration. Note that viscous heating is ignored in Equation (3) and refer to previous work for the Brinkman number [10,23].…”

Section: Nusselt Numbermentioning

confidence: 99%

“…The Nusselt numbers for various types of conduits have been numerically evaluated for different non-Newtonian models. For example, tubes under the uniform heat flux [5] and uniform temperature [9], slits under the uniform heat flux [10], and rectangular ducts under uniform heat flux and temperature [11] have been investigated. A fully developed flow in tube is governed by a nonlinear ordinary differential equation.…”

Section: Introductionmentioning

confidence: 99%

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Correlations for Convective Laminar Heat Transfer of Carreau Fluid in Straight Tube Flow

Kim

2022

Energies

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Correlations for the Nusselt number for the fully-developed laminar flow of Carreau fluids through circular pipe subject to a uniform heat flux have been sought. Based on the mathematical expression, the Nusselt number could be obtained by numerical integration. To evaluate the Nusselt number for many conditions, an efficient integration method has been proposed. Using the obtained Nusselt number for different material constants and flow conditions, an improved correlation method has been proposed. The proposed correlation could reduce the maximum error from 3% to 0.9%.

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Section: Nusselt Numbermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Correlations for Convective Laminar Heat Transfer of Carreau Fluid in Straight Tube Flow

Kim

2022

Energies

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“…The consequence of the Winsberg number on the dynamics of Cross-fluids at the point of stagnation was analyzed by Hayat et al [27] and found a negative impact on the movement of the Cross fluid. In this direction, many investigators (Shahzad et al [28], Kim [29], Hosseinzadeh et al [30], Al-Kouz et al [31], Ayub et al [32], Rao et al [33], and references therein) were studied dynamics of Cross fluid over different geometries subject to different physical effects. However, the study of flow and heat transfer of Cross fluid in an inclined micro channel subjected to non-linear density variation and Newton boundary condition has not been considered yet.…”

Section: Introductionmentioning

confidence: 99%

“…In this direction, many investigators (Shahzad et al. [28], Kim [29], Hosseinzadeh et al. [30], Al‐Kouz et al.…”

Section: Introductionmentioning

confidence: 99%

Entropy generation and thermal analyses of a Cross fluid flow through an inclined microchannel with non‐linear mixed convection

Reddy¹,

Mahanthesh

Rana

et al. 2023

Z Angew Math Mech

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The temperature difference of the various applications such as microchannel heat exchangers, microelectronics, solar collectors, automotive systems, micro fuel cells, and microelectromechanical systems (MEMS) is relatively large. The buoyancy force (mixed convection) modeled by the conventional Boussinesq approximation is inadequate since the density of the operating fluids fluctuates non‐linearly with the temperature difference. Therefore, the mixed non‐linear convective transport of the flow of Cross fluid through three different geometric aspects (horizontal, vertical, and inclined) of the microchannel under the non‐linear Boussinesq (NBA) approximation is investigated. Mechanisms of internal heat source, Rosseland radiative heat flux, and frictional heating are incorporated into the thermal analysis. The mathematical construction is proposed using the Cross fluid model for a steady‐state, and subsequent non‐linear differential equations are deciphered by the spectral quasi‐linearization method (SQLM). Graphical sketches were constructed and displayed that explore the stimulus of various key parameters on Bejan number, velocity, temperature, and entropy generation. It is found that the Bejan number and entropy production improved due to the non‐linear density temperature variation. The convective heating boundary conditions augment the entropy production. The pressure gradient accelerates the transport of fluid in a microchannel. Furthermore, among three different geometries, the velocity, entropy production, and temperature are the highest for the vertical microchannel.

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“…They found that the heat transfer rate exhibits a positive dependence on Reynolds and Prandtl numbers. Kim [4] used the finite element method to study the forced convection heat transfer and fluid flow between parallel plates under uniform heat flux. They concluded that the formulation for the Nusselt number has been derived based on the analytically described velocity and flow rate.…”

Section: Introductionmentioning

confidence: 99%

Second Law Analysis of MHD Forced Convective Nanoliquid Flow Through a Two-Dimensional Channel

Miri

Abbassi

Ferhi

et al. 2022

Acta Mechanica Et Automatica

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The present study deals with fluid flow, heat transfer and entropy generation in a two-dimensional channel filled with Cu–water nanoliquid and containing a hot block. The nanoliquid flow is driven along the channel by a constant velocity and a cold temperature at the inlet, and the partially heated horizontal walls. The aim of this work is to study the influence of the most important parameters such as nanoparticle volume fraction (0%≤ϕ≤4%), nanoparticle diameter (5 nm≤dp≤55 nm), Reynolds number (50≤Re≤200), Hartmann number (0≤Ha≤90), magnetic field inclination angle (0≤γ≤π) and Brownian motion on the hydrodynamic and thermal characteristics and entropy generation. We used the lattice Boltzmann method (LBM: SRT-BGK model) to solve the continuity, momentum and energy equations. The obtained results show that the maximum value of the average Nusselt number is found for case (3) when the hot block is placed between the two hot walls. The minimum value is calculated for case (2) when the hot block is placed between the two insulated walls. The increase in Reynolds and Hartmann numbers enhances the heat transfer and the total entropy generation. In addition, the nanoparticle diameter increase reduces the heat transfer and the irreversibility, the impact of the magnetic field inclination angle on the heat transfer and the total entropy generation is investigated, and the Brownian motion enhances the heat transfer and the total entropy generation.

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Forced convection heat transfer for the fully-developed laminar flow of the cross fluid between parallel plates

Cited by 12 publications

References 28 publications

Correlations for Convective Laminar Heat Transfer of Carreau Fluid in Straight Tube Flow

Correlations for Convective Laminar Heat Transfer of Carreau Fluid in Straight Tube Flow

Entropy generation and thermal analyses of a Cross fluid flow through an inclined microchannel with non‐linear mixed convection

Second Law Analysis of MHD Forced Convective Nanoliquid Flow Through a Two-Dimensional Channel

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