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

DOI10.1007/BF01181517zbMath0714.76089MaRDI QIDQ751425

Mina B. Abd-El-malek, Nagwa A. Badran

Publication date: 1990

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

boundary conditionsgradient methodboundary-layer characteristicsfourth-order Runge-Kutta schemeouter surface of a vertical circular cylinderproblem of unsteady free convectiontransformation group theoretic approachtwo-parameter group

Mathematics Subject Classification ID

Related Items (10)

Free convection effects on the oscillatory flow of a viscoelastic fluid with thermal relaxation in the presence of a transverse magnetic field ⋮ Similarity solutions for unsteady free-convection flow from a continuous moving vertical surface. ⋮ Group theoretic methods applied to Burgers' equation ⋮ Unsteady MHD combined convection over a moving vertical sheet in a fluid-saturated porous medium with uniform surface heat flux ⋮ Solution of the Rayleigh problem for a power law non-Newtonian conducting fluid via group method ⋮ Group method analysis of magneto-elastico-viscous flow along a semi-infinite flat plate with heat transfer ⋮ Group method for temperature analysis of thermally stagnant lakes ⋮ Similarity analysis in magnetohydrodynamics: Hall effects on forced convective heat and mass transfer of non-Newtonian power-law fluids past a semi-infinite vertical flat plate ⋮ Using group theoretic method to solve multi-dimensional diffusion equation ⋮ Solution of the Rayleigh problem for a power-law non-Newtonian conducting fluid via group method.

Cites Work

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• 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

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