Self-similar analysis of Eyring-Powell fluid in boundary layer without simplification

Авраменко, А. А.; Kovetskaya, M.M.; Shevchuk, Igor V.

doi:10.1016/j.cjph.2021.10.025

Cited by 8 publications

(1 citation statement)

References 6 publications

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“…Jafari Moghaddam [39] studied the Eyring Powell model and described fluid flow and heat transfer over a stretching sheet. The Eyring-Powell model is also solved by using different techniques as mentioned in [40][41][42]. He then solved the governing PDEs by using homotopy perturbation and homotopy analysis methods to convert them to ODEs.…”

Section: Solution Methodologymentioning

confidence: 99%

Analysis of Heat Transport in a Powell-Eyring Fluid with Radiation and Joule Heating Effects via a Similarity Transformation

Naseem¹,

Bibi²,

Shahzad³

et al. 2023

Fluid Dynamics &Amp; Materials Processing

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Heat transfer in an Eyring-Powell fluid that conducts electricity and flows past an exponentially growing sheet is considered. As the sheet is stretched in the x direction, the flow develops in the region with y > 0. The problem is tackled through a set of partial differential equations accounting for Magnetohydrodynamics (MHD), radiation and Joule heating effects, which are converted into a set of equivalent ordinary differential equations through a similarity transformation. The converted problem is solved in MATLAB in the framework a fourth order accurate integration scheme. It is found that the thermal relaxation period is inversely proportional to the thickness of the thermal boundary layer, whereas the Eckert-number displays the opposite trend. As this characteristic number grows, the temperature within the channel increases.

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