Entropy analysis of unsteady magneto-nanofluid flow past accelerating stretching sheet with convective boundary condition

Das, S.; Chakraborty, Subhajit; Jana, R. N.; Makinde, Oluwole Daniel

doi:10.1007/s10483-015-2003-6

Cited by 183 publications

(82 citation statements)

References 48 publications

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“…These extensions and modifications include magnetohydrodynamic effects; radiative heat flux in the heat equation; permeable substrates; heat generation/absorption; non-Newtonian fluids; flow in a cylindrical geometry; flow in a cylindrical geometry embedded in a porous medium; a permeable cone in a porous media; various far-field flow configurations; nanofluids with micro-organisms, see [8,22,25,52,55,56,59,65]. Simply for the stretching sheet model there are studies with sheets moving at a constant rate, with velocity proportional to distance x; proportional to x n ; proportional to x/t (and then with a substrate temperature proportional to x/t 2 ); exponentially increasing [8,12,23,54,57].…”

Section: Introductionmentioning

confidence: 99%

Does mathematics contribute to the nanofluid debate?

Myers

Ribera

Cregan

2017

International Journal of Heat and Mass Transfer

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Recent experimental evidence has clearly demonstrated that nanofluids do not provide the greatly enhanced heat transfer predicted in the past. Despite seemingly conclusive proof there is still a great deal of current mathematical research asserting the opposite result. In this paper we scrutinise the mathematical work and demonstrate that the disagreement can be traced to a number of issues. These include the incorrect formulation of the governing equations; the use of parameter values orders of magnitude different to the true values (some requiring nanoparticle volume fractions greater than unity and nanoparticles smaller than atoms); model choices that are based on permitting a reduction using similarity variables as opposed to representing an actual physical situation; presentation of results using different scalings for each fluid.

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Section: Introductionmentioning

confidence: 99%

Does mathematics contribute to the nanofluid debate?

Myers

Ribera

Cregan

2017

International Journal of Heat and Mass Transfer

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“…It becomes important to analyze the entropy generation in the system that involves to the irreversibility of useful energy, magnetohydrodynamics is one of the non-ideal effects which is responsible for increasing the entropy of the system. In our case, the actual entropy generation in the nanofluids is given by (See for example Das et al [53])…”

Section: Entropy Generation Analysismentioning

confidence: 99%

Mathematical model for thermal and entropy analysis of thermal solar collectors by using Maxwell nanofluids with slip conditions, thermal radiation and variable thermal conductivity

2018

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Abstract:In the present research a simplified mathematical model for the solar thermal collectors is considered in the form of non-uniform unsteady stretching surface. The non-Newtonian Maxwell nanofluid model is utilized for the working fluid along with slip and convective boundary conditions and comprehensive analysis of entropy generation in the system is also observed. The effect of thermal radiation and variable thermal conductivity are also included in the present model. The mathematical formulation is carried out through a boundary layer approach and the numerical computations are carried out for Cuwater and TiO 2 -water nanofluids. Results are presented for the velocity, temperature and entropy generation profiles, skin friction coefficient and Nusselt number. The discussion is concluded on the effect of various governing parameters on the motion, temperature variation, entropy generation, velocity gradient and the rate of heat transfer at the boundary.

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“…Effective density, thermal diffusivity, electrical conductivity, specific heat and the coefficient 6 of thermal expansion of the nanofluid [14,43,44,45] are given as follows Table 1: Thermo-physical properties of water and alumina [14] where φ is the solid volume fraction of the nanoparticles. Nanofluid thermal conductivity is calculated by the following [46] Maxwell's model…”

Section: The Governing Equationsmentioning

confidence: 99%