Open AccessScaling and Integral Solutions to Mixed Convection Over an Exponential Stretching Sheet
Author(s) -
Rudra Murthy B. Veerabhadrappa,
Vashist Ademane,
Veershetty Gumtapure,
Vijay Kumar Hindasageri
Publication year - 2020
Publication title -
mathematical modelling and engineering problems/mathematical modelling of engineering problems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.26
H-Index - 11
eISSN - 2369-0747
pISSN - 2369-0739
DOI - 10.18280/mmep.070412
Subject(s) - scaling , similarity (geometry) , prandtl number , mathematics , similarity solution , integral equation , exponential function , flow (mathematics) , mathematical analysis , work (physics) , convection , physics , mechanics , computer science , thermodynamics , geometry , boundary layer , artificial intelligence , image (mathematics)
The reported studies on mixed convection flow problems have been solved purely by method of similarity studies. Scaling analysis is an alternate method that can give better engineering insight of the problem being investigated. Integral solutions are mathematically simpler to handle as the engineering requirement is that of accurate solutions only close to the wall. In the present work, scaling and integral solutions are discussed for a typical mixed convection flow problem already discussed in literature by similarity technique. Scaling method has been demonstrated and is found in good agreement with the results obtained from similarity method. The integral solution is obtained by deriving the integral form of governing equation and solution is discussed for specific case of Prandtl number = 1. The solution obtained by Integral formulations is in good agreement with that of similarity method.