Some helical flows of a Burgers fluid with fractional derivative

DOI10.1007/s11012-009-9233-zzbMath1258.76026OpenAlexW2004755618MaRDI QIDQ1937643

S. Hyder Ali Muttaqi Shah

Publication date: 1 March 2013

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-009-9233-z

zbMATH Keywords

exact solutionsfractional calculusconcentric cylindersBurgers fluidhelical flow

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Fractional derivatives and integrals (26A33)

Related Items (15)

Effects of heat transfer and an endoscope on peristaltic flow of a fractional Maxwell fluid in a vertical tube ⋮ Fractional Burgers wave equation on a finite domain ⋮ Some exact solutions for rotating flows of a generalized Burgers' fluid in cylindrical domains ⋮ On the unsteady rotational flow of fractional Oldroyd-B fluid in cylindrical domains ⋮ Exact solutions for the unsteady rotational flow of an Oldroyd-B fluid with fractional derivatives induced by a circular cylinder ⋮ Unnamed Item ⋮ The memory time effects for unsteady seas and oceans water flow through the limestone porous medium in the presence of chemical reaction and Soret effects ⋮ On a system of nonlinear wave equations associated with the helical flows of Maxwell fluid ⋮ Analytical and numerical solutions of a multi-term time-fractional Burgers' fluid model ⋮ Helical flows of Maxwell fluid between coaxial cylinders with given shear stresses on the boundary ⋮ Variational iteration method for the Burgers' flow with fractional derivatives -- new Lagrange multipliers ⋮ Formulation of thermodynamically consistent fractional Burgers models ⋮ Existence, blow-up, and exponential decay estimates for a system of semilinear wave equations associated with the helicalflows of Maxwell fluid ⋮ On a system of nonlinear wave equations associated with the helical flows of Maxwell fluid: linear approximation and asymptotic expansion of solutions in many small parameters ⋮ Fractal dimensions in fluid dynamics and their effects on the Rayleigh problem, the Burger's vortex and the Kelvin-Helmholtz instability

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• Starting solutions for the oscillating motion of a Maxwell fluid in cylindrical domains
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• Some exact solutions for the helical flow of a generalized Oldroyd-B fluid in a circular cylinder
• On some axial Couette flows of non-Newtonian fluids
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