Stream function solution of the Brinkman equation in parabolic cylindrical coordinates

DOI10.1007/s40819-020-00920-4zbMath1468.35144OpenAlexW3097903363MaRDI QIDQ2026876

Deepak Kumar Maurya, Satya Deo

Publication date: 21 May 2021

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-020-00920-4

zbMATH Keywords

Whittaker functionBrinkman equationparabolic cylinder functionWeber differential equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Solutions to PDEs in closed form (35C05) Linear higher-order PDEs (35G05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

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• Numerical simulation of forced convection flow past a parabolic cylinder embedded in porous media
• Convection in Porous Media
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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