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Statistical analysis of stagnation‐point heat flow in Williamson fluid with viscous dissipation and exponential heat source effects
Author(s) -
Mahanthesh Basavarajappa,
Mackolil Joby,
Shehzad Sabir Ali
Publication year - 2020
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.21842
Subject(s) - mechanics , magnetohydrodynamic drive , flow (mathematics) , stagnation temperature , thermodynamics , exponential function , heat transfer , stagnation point , physics , mathematics , magnetohydrodynamics , mathematical analysis , plasma , quantum mechanics
This analysis explores the effect of the novel exponential space‐dependent heat generation factor on the stagnation‐point Williamson fluid flow over a stretchable surface. The heat transport phenomenon is carried out by the addition of viscous and Ohmic dissipations. Similarity transformations are applied to the nonlinear system of partial differential expressions that arise by the flow. The nonlinear ordinary differential system hence obtained is solved to visualize the role of different constraints graphically. Statistical methods such as correlation, probable error, and regression are utilized. The probable error is evaluated to calculate the reliability of the computed correlation factors. The study reveals that the velocity phenomenon is reduced by incrementing the Weissenberg parameter. The velocity of the hydromagnetic liquid is lesser than the velocity of magnetohydrodynamic fluid flow. Also, the higher heat generation factor gives a boost to the temperature of the flowing material.