2024
DOI: 10.1002/htj.23003
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Exact and analytical solutions for self‐similar thermal boundary layer flows over a moving wedge

Shreenivas R. Kirsur,
Shrivatsa R. Joshi

Abstract: This article aims to achieve exact and analytical solutions for the classical Falkner–Skan equation with heat transfer (FSE‐HT). Specifically, when the pressure gradient parameter , there already exists a closed‐form solution in the literature for the Falkner–Skan flow equation. The main purpose here is to extend this case to obtain a closed‐form solution to the heat transport equation with the solubility condition . An algorithm is presented and is found to be new to the literature that enriches the physical … Show more

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Cited by 2 publications
(4 citation statements)
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“…It is worth mentioning that an exact solution of Equation (9a), when 𝛽 = −1 and 𝑐 → ∞, has been reported by many researchers in the literature 13,[49][50][51] . However, the exact solution of Equation (9a) for finite values of 𝑐 is not yet reported in the existing literature.…”
Section: For the Momentum Boundary Layer Equationmentioning
confidence: 95%
See 3 more Smart Citations
“…It is worth mentioning that an exact solution of Equation (9a), when 𝛽 = −1 and 𝑐 → ∞, has been reported by many researchers in the literature 13,[49][50][51] . However, the exact solution of Equation (9a) for finite values of 𝑐 is not yet reported in the existing literature.…”
Section: For the Momentum Boundary Layer Equationmentioning
confidence: 95%
“…The solution procedure given by Kirsur and Joshi 49 hints us that the exact solution of the heat transfer equation (9b) can be obtained. Rewriting the exact solution of the momentum field, given in Equation ( 12), as…”
Section: For the Thermal Boundary Layer Equationmentioning
confidence: 99%
See 2 more Smart Citations