Modified thermal and solutal fluxes through convective flow of Reiner-Rivlin material

Khan, Sohail A.; Razaq, Aneeta; Alsaedi, A.; Hayat, Tasawar

doi:10.1016/j.energy.2023.128516

Cited by 41 publications

(11 citation statements)

References 38 publications

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“…Due to its importance, many papers can be found in the engineering literature about experimentally measuring or computing K (see for instance [2][3][4][5][6]). We also refer the reader to interesting recent results on thermal flows and their numerical modelling provided in [7][8][9][10][11][12].…”

Section: ∂U ∂Nmentioning

confidence: 99%

The Robin boundary condition for modelling heat transfer

Marušić-Paloka,

Pažanin

2024

Proc. R. Soc. A.

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The heat exchange between a rigid body and a fluid is usually modelled by the Robin boundary condition saying that the heat flux through the interface is proportional to the difference between their temperatures. Such interface law describes only the unilateral heat exchange. The goal of this paper is to compare the Robin boundary condition starting with the transmission condition (the temperature and the flux continuity) using rigorous mathematical analysis. Our main results are the following. We first show that a generalized version of the Robin boundary condition can be justified. Second, we prove that replacing the generalized by the standard Robin condition can be justified for high convection velocity if the conductivity of the surrounding liquid is much lower than that of the body. On the other hand, if the fluid conducts much better than the body, then the effective boundary condition is shown not to be the Robin one, but it involves second-order derivatives. We strongly believe that those findings bring new insights to the physics of the heat exchange processes and, thus, could prove useful in engineering practice.

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Section: ∂U ∂Nmentioning

confidence: 99%

The Robin boundary condition for modelling heat transfer

Marušić-Paloka,

Pažanin

2024

Proc. R. Soc. A.

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“…Viscous heating due to fluid molecule and nanoparticle interaction is added to the formulation. The resulting conservation equations using a Cartesian ( x , y ) coordinate system, with the involvement of ohmic dissipation (Joule heating) affects porosity factor and heat source, are as follows: 33–35 …”

Section: Modelling and Mathematical Formulationmentioning

confidence: 99%

Entropy production with the flow of nanomaterials through the permeable stretched surface with heterogeneous–homogenous chemical reaction

Hashim,

Rehman,

Alshammari

et al. 2023

Nanoscale Adv.

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“…Toward this, we examined the Newtonian and non-Newtonian rheological characteristics of the coolant fluid, employing the Power Law Model. 47 Power law fluids have emerged as a key component in heat transfer applications, 48,49 electromagnetically induced nano-particle migration, 50,51 and in setups involving convection 52,53 in both industrial and defense research purposes. The Power Law Model stands as the most basic generalized approximation for non-Newtonian fluids.…”

Section: Introductionmentioning

confidence: 99%

Modulating fluid rheology and confinement toward augmenting the performance of a double layered microchannel heat sink

Kumar,

Das,

Bakli

2024

Heat Trans

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The improvement of the cooling performance of liquid‐cooled microchannel heat sinks used for densely packed electronic circuits is sorted via passive techniques like tuning substrate or coolant properties. We propose a design for enhancing heat sink performance by simulataneously modifying the channel geometry and tuning the fluid rheology. By modeling the coolant as a power law fluid, its rheological behavior is varied ranging from shear‐thinning to shear‐thickening, alongside Newtonian fluid. We introduced tapering to the middle wall that separates the bottom and top channels of a double layered microchannel heat sink (DL‐MCHS), causing both channels to converge. This convergence not only increases the flow velocity within the downstream microchannel but also reduces the apparent viscosity of the shear‐thinning fluid being subjected to shear, resulting in enhanced thermal and hydraulic performance. We analyze the results from both the first and the second law of thermodynamics context, demonstrating that a tapered DL‐MCHS with shear‐thinning fluid outperforms a straight partition wall DL‐MCHS with Newtonian coolant. However, we also discovered that extreme tapering compromises thermodynamic viability, but by fine‐tuning the extent of tapering, we inferred that a DL‐MCHS with shear‐thinning fluid can become viable with little compromise in the thermal performance.

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Modified thermal and solutal fluxes through convective flow of Reiner-Rivlin material

Cited by 41 publications

References 38 publications

The Robin boundary condition for modelling heat transfer

The Robin boundary condition for modelling heat transfer

Entropy production with the flow of nanomaterials through the permeable stretched surface with heterogeneous–homogenous chemical reaction

Modulating fluid rheology and confinement toward augmenting the performance of a double layered microchannel heat sink

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