Convective heat transfer in the vertical channel flow of a clear fluid adjacent to a nanofluid layer: a two-fluid model

Gorder, Robert A. Van; Prasad, K. V.; Vajravelu, K.

doi:10.1007/s00231-012-0973-2

Cited by 19 publications

(5 citation statements)

References 35 publications

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“…We apply the optimal homotopy analysis method to solve the system of nonlinear ordinary differential Eqs. (10)- (14) with boundary conditions (15). In this model, it is convenient that all solution expressions should be in the form…”

Section: Ham Solutionmentioning

confidence: 99%

“…The resulting boundary value problem is solved via boundary value problem solver in MAPLE 12. In our paper, the similar model, Gorder et al [15], is reconsidered; some modifications are proposed for the definitions of the physical parameters, namely, Brownian motion parameter, thermophoresis parameter, heat source or sink parameter, Prandtl numbers, and Grashof number. The problem is solved by using a recently developed software package BVPH 2.0 available online (http://numericaltank.sjtu.edu.cn/BVPh.htm).…”

Section: Introductionmentioning

confidence: 98%

“…The fully developed convective heat transfer in a vertical channel flow of a clear fluid adjacent to a nanofluid layer has been investigated numerically by Gorder et al [15] recently. In order to solve the two-layer boundary value problem, equations for region II are mapped by a change of variables from [À1,0] to [0,1].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Heat Transfer in a Two-Layer Flow With Nanofluids by OHAM

Farooq¹,

Lin

2013

Journal of Heat Transfer

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The problem of fully developed steady, laminar, incompressible flow in a vertical channel is studied analytically, one region is filled with water based copper nanofluid and the other region is filled with clear viscous fluid. The resulting coupled nonlinear ordinary differential equations (ODEs) are solved by optimal homotopy analysis method (OHAM). The convergence of our results is discussed by the so-called total average squared residual error. Analytical results are presented for different values of the physical parameters, such as the mixed convection parameters, the Brownian motion parameter, and thermophoresis parameter. Reversed flow is observed for sufficiently high buoyancy (mixed convection parameter). Further we investigate the effects of the Brownian motion parameter and thermophoresis parameter on the fluid flow and heat transfer at the interface of the two regions.

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Section: Ham Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

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Nonlinear Heat Transfer in a Two-Layer Flow With Nanofluids by OHAM

Farooq¹,

Lin

2013

Journal of Heat Transfer

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“…Rajeev and Mahanthesh 17 studied multi-layer flow of nanofluids in the presence of nonlinear Boussinesq approximation by utilizing differential transform method. Multi-layered time dependent fluid flow on a flat plate with various fluid types was later studied by Devakar et al 18 Fully formed two-layer fluid flow was described by Van Gorder et al 19 as occurring between parallel plates with nanofluid occupying one area and transparent fluid covering the other. Farooq and Zhi-Liang 20 demonstrated the flow inversion phenomena for relatively high buoyant force and offered new nondimensional quantities for physical parameters.…”

Section: Introductionmentioning

confidence: 99%

Flow dynamics and convective transport analysis of two-layered dissipative Casson hybrid nanofluid flow in a vertical channel

Amin

Munir

Farooq

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper undertakes a thorough study to examine heat and mass transfer of two-layer hybrid nanofluid flow in a vertical channel. Casson fluid model is used to investigate the non-Newtonian nature of blood flow (base fluid) in this study. The problem is formulated which includes laminar, incompressible flow with additional viscous dissipation effects. Titanium dioxide and Graphene nanoparticles are employed in this study for the hybrid notion. At the interface, it is considered that the velocity and temperature remain continuous. A group of non-dimensional transformations are used to non-dimensionalized the set of ordinary differential equations and those non-linear differential equations are then solved using an analytical method known as homotopy analysis method (HAM). The behavior of physical parameters on velocity and temperature are presented graphically. Variation of Nusselt number against emerging parameters are tabulated to provide numerical data for validation. The findings of present study can provide insight into the behavior of blood flow in diseased conditions atherosclerosis, thrombosis, and other cardiovascular diseases. This study can also help in designing more effective drug delivery systems for targeted therapies.

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“…The problem of mixed convection in a vertical porous channel for nanofluids and pure fluids was investigated by Memari et al [23] and they take the influences of viscous heating and inertial force into account. Van Gorder et al [24] analyzed a twofluid vertical channel flow in mixed convection with clear fluid and nanofluid. They declared that the addition of nanofluid modified thermal properties of the fluid favorably.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of Heat Transfer in Partially Heated Vertical Channel Under Mixed Convection by Using Al₂O₃ Nanoparticles

Çelik

Mobedi

Manca

et al. 2017

Heat Transfer Engineering

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Laminar mixed convection in a two-dimensional symmetrically and partially heated vertical channel is investigated. The heaters are located on both walls and uniform temperature is applied on the heated sections. The number of heaters is considered as 1, 4, 8, and 10. Aluminum oxide/water nanofluid is considered as working fluid and the inlet velocity is uniform. The continuity, momentum and energy equations with appropriate boundary conditions are solved in dimensionless form, numerically. The study is performed for Richardson number of 0.01 and 10, Reynolds number of 100 and 500, and nanofluid volume fraction of 0% and 5%. Based on the obtained velocity and temperature distributions, the local and mean Nusselt number is calculated and plotted for different cases. The variation of the mean Nusselt number with the number of the heated portions is also discussed. It is found that the addition of nanoparticles into the base fluid increases mean Nusselt number but the rate of increase depends on Reynolds, Richardson numbers and number of heated portions. It is possible to increase mean Nusselt number 138% by increasing Reynolds number from 100 to 500, Richardson number from 0.01 to 10 and number of heated portions from 1 to 10 when volume fraction value is 5%.

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Convective heat transfer in the vertical channel flow of a clear fluid adjacent to a nanofluid layer: a two-fluid model

Cited by 19 publications

References 35 publications

Nonlinear Heat Transfer in a Two-Layer Flow With Nanofluids by OHAM

Nonlinear Heat Transfer in a Two-Layer Flow With Nanofluids by OHAM

Flow dynamics and convective transport analysis of two-layered dissipative Casson hybrid nanofluid flow in a vertical channel

Enhancement of Heat Transfer in Partially Heated Vertical Channel Under Mixed Convection by Using Al₂O₃ Nanoparticles

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Convective heat transfer in the vertical channel flow of a clear fluid adjacent to a nanofluid layer: a two-fluid model

Cited by 19 publications

References 35 publications

Nonlinear Heat Transfer in a Two-Layer Flow With Nanofluids by OHAM

Nonlinear Heat Transfer in a Two-Layer Flow With Nanofluids by OHAM

Flow dynamics and convective transport analysis of two-layered dissipative Casson hybrid nanofluid flow in a vertical channel

Enhancement of Heat Transfer in Partially Heated Vertical Channel Under Mixed Convection by Using Al2O3 Nanoparticles

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Enhancement of Heat Transfer in Partially Heated Vertical Channel Under Mixed Convection by Using Al₂O₃ Nanoparticles