Exact solutions for the unsteady rotating flows of a generalized Maxwell fluid with oscillating pressure gradient between coaxial cylinders

DOI10.1016/j.camwa.2011.02.044zbMath1228.76013OpenAlexW2012438502MaRDI QIDQ651596

Lian-Cun Zheng, Chunrui Li, Ying-Tao Gao, Xin-xin Zhang

Publication date: 18 December 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.02.044

zbMATH Keywords

Mittag-Leffler functionHankel transformsexact solutionsgeneralized Maxwell fluidoscillating pressure gradientgeneralized \(G\) functionunsteady rotating flow

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) General theory of rotating fluids (76U05) Mittag-Leffler functions and generalizations (33E12) Fractional partial differential equations (35R11)

Related Items (7)

Analytical and numerical solutions of oscillating flow at a trapezoidal pressurewaveform ⋮ Fast method and convergence analysis for the magnetohydrodynamic flow and heat transfer of fractional Maxwell fluid ⋮ Unnamed Item ⋮ Flow, heat and mass transfer of three-dimensional fractional Maxwell fluid over a bidirectional stretching plate with fractional Fourier's law and fractional Fick's law ⋮ MHD flow and heat transfer analysis of fractional Oldroyd-B nanofluid between two coaxial cylinders ⋮ Analytical and numerical solutions of the unsteady 2D flow of MHD fractional Maxwell fluid induced by variable pressure gradient ⋮ Hydrodynamic effect of slip boundaries and exponentially decaying/growing time-dependent pressure gradient on Dean flow

Cites Work

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