Time-varying stretching velocity analysis for an unsteady flow of Williamson fluid by Hermite wavelet.

Autor: Vidya Shree, R., Patil Mallikarjun, B., Kumbinarasaiah, S.
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Zdroj: Umm Al-Qura University Journal of Applied Sciences (Springer Nature); Sep2024, Vol. 10 Issue 3, p541-554, 14p
Abstrakt: This study investigates unsteady velocity U w = ξ x / t for a Williamson nanofluid film flowing over a moving surface. This work can be used to outline the effects of an applied angled magnetic-field on liquid film flow, which occurs in numerous real-world solicitations such as coating industries for wire or sheet, labs, painting, and several others. Analyzing williamson nanoliquid film flow over a stretching sheet is the main aim of this investigation. The leading Navier–Stokes models are reduced to third-order nonlinear ODE through similarity transformations that are then undertaken using the Hermite wavelet method (HWM). Both 2-dimensional and axisymmetric film flow circumstances have been analyzed. The moving surface parameter ξ is said to have a limited range for which the solution exists. Specifically, ξ ≤ - 1 / 4 for axisymmetric flow and ξ ≥ - 1 / 2 for two-dimensional flow. Before decreasing to the boundary condition, the velocity climbs until it reaches its maximum. By taking into account the stretching ( ξ > 0 ) and shrinking ( ξ < 0 ) wall conditions, streamlines are also examined for axisymmetric and 2-dimensional flow patterns. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index