Group method analysis of unsteady free-convective laminar boundary-layer flow on a nonisothermal vertical flat plate

DOI10.1007/BF00130688zbMath0716.76062OpenAlexW3012587722MaRDI QIDQ753595

Nagwa A. Badran, Youssef Zaki Boutros, Mina B. Abd-El-malek

Publication date: 1990

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00130688

zbMATH Keywords

laminar free convectionfourth-order Runge-Kutta schemetransformation group theoretic approachheat-transfer characteristicsnonisothermal vertical flat platetwo-parameter groups

Mathematics Subject Classification ID

Free convection (76R10)

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Cites Work

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• Group properties and new solutions of Navier-Stokes equations
• Similarity methods for differential equations
• Transient free convection with mass transfer on an isothermal vertical flat plate
• Approximate solution of the transient free convection laminar boundary layer equations
• Laminar free convection from a nonisothermal plate immersed in a temperature stratified medium
• Nonlinear partial differential equations in engineering. Vol. II
• Semisimilar solutions for unsteady free-convective boundary-layer flow on a vertical flat plate
• Possible Similarity Solutions for Laminar Free Convection on Vertical Plates and Cylinders
• Asymptotic Solutions for Unsteady Laminar Free Convection on a Vertical Plate
• Reduction of the Number of Variables in Systems of Partial Differential Equations, with Auxiliary Conditions
• Similarity for unsteady compressible boundary layers.
• THE REDUCTION BY ONE OF THE NUMBER OF INDEPENDENT VARIABLES IN SOME SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS
• Differential Invariants and Invariant Partial Differential Equations Under Continuous Transformation Groups in Normed Linear Spaces
• Analysis of fluid equations by group methods