Multilayer flow and heat transport of nanoliquids with nonlinear Boussinesq approximation and viscous heating using differential transform method

Anandika, Rajeev; Mahanthesh, B.

doi:10.1002/htj.22076

Cited by 21 publications

(9 citation statements)

References 25 publications

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“…Table 1 lists thermophysical characteristics of blood and nanoparticles [7]. Table 2 and 3 lists thermophysical properties of nanofluid and hybrid nanofluid respectively [17].…”

Section: Physical Model and Problem Formulationmentioning

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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“…Table 1 lists thermophysical characteristics of blood and nanoparticles [7]. Table 2 and 3 lists thermophysical properties of nanofluid and hybrid nanofluid respectively [17].…”

Section: Physical Model and Problem Formulationmentioning

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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“…It is assumed that the middle porous layer is wider than the other two layers and the overall thickness of the channel is

2 h

units as shown in Figure 1. The interfacial layer is formed due to the immiscible property of the base fluids water and oil 34 . The thermophysical properties of base fluids and the suspended nanoparticles are provided in Table 1.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…

μ_{nf} \frac{d^{2} u_{3}}{d y^{2}} - \frac{\partial P}{\partial x} + g β_{nf} (T_{3} - T_{w_{1}}) = 0,

κ_{nf} \frac{d^{2} T_{3}}{d y^{2}} + Q_{0} (T_{3} - T_{w_{2}}) - \frac{\partial q_{r}}{\partial y} = 0 .

Boundary and interface conditions are given by 34 :

\begin{matrix} left \\ u_{1} = 0, - k \frac{d T_{1}}{d y} = h_{normalt} (T_{{normalw}_{2}} - T_{1}) at y = - h, \\ u_{2} = u_{1}, T_{2} = T_{1}, μ_{1_{hnf}} \frac{d u_{1}}{d y} = μ_{2_{hnf}} \frac{d u_{2}}{d y}, k_{1_{nf}} \frac{d T_{1}}{d y} = k_{2_{hnf}} \frac{d T_{2}}{d y}, y = - \frac{h}{2}, \\ u_{2} = u_{3}, T_{2} = T_{3}, μ_{1_{hnf}} \frac{d u_{2}}{d y} = μ_{1_{nf}} \frac{d u_{3}}{d y}, k_{1_{nf}} \frac{d T_{3}}{d y} = k_{...} \end{matrix}

…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In this study, the authors have tried to analyze the heat transfer characteristics of the multilayer flow of nanofluid. Previously, Rajeev and Mahanthesh 34 conducted a study on a hybrid nanofluid which explained the quadratic convection with viscous dissipation effect in a multilayer model without the porous medium. This has inspired the authors to develop a convective heat transfer model with radiation effect and porous medium in the middle region.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of multilayer convective flow of a hybrid nanofluid in porous medium sandwiched between the layers of nanofluid

et al. 2021

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AgBr acts as a good sensitizer for titanium oxide, hence TiO2–AgBr nanoparticles exhibit high photocatalytic activity which helps decompose methyl orange under visible light irradiation. Methyl orange is a chemical compound that is hard to degrade and has high stability. It is photoreactive and can capture photons from the sun and is highly used as a light harvester in solar cells, hence, it is used in solar applications. In view of this, the present article deals with the analysis of heat transfer in a multilayer flow of two immiscible nanofluids in a vertical channel that finds application in the fields of solar reactors, electronic cooling, and so on. The mathematical model involving the effect of thermal radiation and the presence of heat source is in the form of a system of ordinary differential equations. This system of equations is simplified using the differential transform method‐Padé approximant and the resulting equations are solved algebraically. It is observed that the temperature of the coolant does not reach its saturation point faster due to the presence of different base fluids that differ in their thermal conductivity. This helps in maintaining the optimum temperature of the system.

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“…They have adopted nonlinear density variation with temperature in the buoyancy term, which resulted in increased fluid velocity, skin friction coefficient and increased reverse flow formation. Rajeev and Mahanthesh [18] studied the multilayer flow and heat transport of nano-liquids with non-linear Boussinesq approximation to simulate the effect of density variation.…”

Section: Introductionmentioning

confidence: 99%

Density Modelling in Mixed Convection Flow in a Vertical Parallel Plate Channel

Siddiqui¹

2021

IJHT

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In this paper, a novel way of modelling the density in buoyancy term of mixed convection flow problem is presented using equation of state and Boussinesq approximation without first-order approximation of density with respect to temperature. The presented density model is used to investigate the laminar mixed convection flow in a vertical parallel plate channel under symmetric constant wall heat flux. The results obtained are compared with the results obtained using first-order approximation of density with Boussinesq approximation, and also compared with the results obtained using variable thermophysical properties with negligible viscous dissipation. Investigation is performed on the basis of flow and thermal fields for Re=150 and 300, Ri=0.1 to 25. It is found that the presented density model produces relatively better results, which is able to describe the case of developing flow under constant heat flux condition that is not evident if Boussinesq approximation with first-order approximation of density is used. An appearance of recirculatory cells when reverse flow takes place is also witnessed in vertical channel flow with constant heat flux boundary condition which was not reported earlier.

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Multilayer flow and heat transport of nanoliquids with nonlinear Boussinesq approximation and viscous heating using differential transform method

Cited by 21 publications

References 25 publications

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

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

Analysis of multilayer convective flow of a hybrid nanofluid in porous medium sandwiched between the layers of nanofluid

Density Modelling in Mixed Convection Flow in a Vertical Parallel Plate Channel

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