2015
DOI: 10.3390/en81011546
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Effects of Shear Dependent Viscosity and Variable Thermal Conductivity on the Flow and Heat Transfer in a Slurry

Abstract: Abstract:In this paper we study the effects of variable viscosity and thermal conductivity on the heat transfer in the pressure-driven fully developed flow of a slurry (suspension) between two horizontal flat plates. The fluid is assumed to be described by a constitutive relation for a generalized second grade fluid where the shear viscosity is a function of the shear rate, temperature and concentration. The heat flux vector for the slurry is assumed to follow a generalized form of the Fourier's equation where… Show more

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Cited by 15 publications
(8 citation statements)
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References 74 publications
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“…In the end, besides what we discussed in this paper, there are still many remaining issues we will investigate in the following work. Such as the effect degree of casing program on the heat transfer procedures during drilling horizontal wells, the thermal behaviors under a three-dimensional well trajectory, the variations of drilling fluid properties resulting from temperature changes, and the varying trends of heat transfer when the composition of drilling fluid is changed (the influx of formation fluids, the increase of cuttings concentration) should also be considered [15,[67][68][69]. If the grid number along the radial direction is i MAX , and that along the depth direction was j MAX , the sequence of all items in the discretized equations was rearranged according to Equation (A5).…”
Section: Discussionmentioning
confidence: 99%
“…In the end, besides what we discussed in this paper, there are still many remaining issues we will investigate in the following work. Such as the effect degree of casing program on the heat transfer procedures during drilling horizontal wells, the thermal behaviors under a three-dimensional well trajectory, the variations of drilling fluid properties resulting from temperature changes, and the varying trends of heat transfer when the composition of drilling fluid is changed (the influx of formation fluids, the increase of cuttings concentration) should also be considered [15,[67][68][69]. If the grid number along the radial direction is i MAX , and that along the depth direction was j MAX , the sequence of all items in the discretized equations was rearranged according to Equation (A5).…”
Section: Discussionmentioning
confidence: 99%
“…This issue, as important as it is, is beyond the scope of our study. However, a recent study by Miao and Massoudi [81], where a simplified version of Equation (4.26) was used to study the heat transfer to a slurry, indicates that indeed the non-linear terms in the heat flux vector, which also appear in the expression for the thermal conductivity, significantly influence the heat transfer characteristic of the fluid. The discussion of the constitutive modeling of the heat flux vector for slag is from a theoretical perspective.…”
Section: Discussionmentioning
confidence: 99%
“…In general, the thermal conductivity of nanofluids (suspension with particles) is not constant; it can be a function of temperature, shear rate, concentration, etc. [29][30][31]. For a recent review of the heat flux vector, see [32][33][34].…”
Section: Constitutive Equationsmentioning
confidence: 99%