Rotational motion of fractional Maxwell fluids in a circular duct due to a time-dependent couple

Sadiq, Naeem; Imran, Muhammad; Fetecău, Constantin; Ahmed, Najma

doi:10.1186/s13661-019-1132-1

Cited by 6 publications

(1 citation statement)

References 38 publications

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“…During the last decennium, the different non-Newtonian fluid investigations have been studied in variant approaches [1][2][3][4][5][6][7][8]. These fluids have enormous applications in engineering and show a lot of diversity in their rheological state.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer analysis of viscoelastic fluid flow with fractional Maxwell model in the cylindrical geometry

2020

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This investigation deals with the study of heat transfer analysis of fractional Maxwell fluid in a vertical circular cylinder which is initially at rest. Semi-analytical elucidations for velocity as well as temperature fields have been established by using a hybrid technique which has less time cost and mathematical calculations as compared to other techniques existing in the literature. This problem is also solved exactly with the help of integral transform technique which involves Laplace along with finite Hankel transforms Exact solutions that satisfy all prescribed initial and boundary conditions have been particularized to get the similar solutions for Newtonian and ordinary Maxwell fluids. Impact of distinct physical parameters for example fractional parameter, Prandtl number, Grashof number on fluid function and heat transfer is illustrated through graphical and tabular discussion in the end. Moreover, the fractional Maxwell model helps us to choose the non-integer parameter α for the validation of results between theoretical and experimental findings.

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