Flow of fractional Maxwell fluid in oscillating pipe-like domains

DOI10.1007/s40819-016-0139-xzbMath1397.76005OpenAlexW2264766338MaRDI QIDQ1788255

Kavita Khandelwal, Vatsala Mathur

Publication date: 8 October 2018

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

Full work available at URL: https://doi.org/10.1007/s40819-016-0139-x

zbMATH Keywords

Laplace transformHankel transformfractional calculusfractional Maxwell fluidgeneralized G function

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05)

Cites Work

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• Starting solutions for oscillating motions of Oldroyd-B fluids in cylindrical domains
• Starting solutions for the motion of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder
• Starting solutions for oscillating motions of a generalized Burgers' fluid in cylindrical domains
• Exact analytic solutions for the unsteady flow of a non-Newtonian fluid between two cylinders with fractional derivative model
• Longitudinal and torsional oscillations of a rod in a non-Newtonian fluid
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• Transient flows of a second grade fluid
• On the oscillating motion of an Oldroyd-B fluid between two infinite circular cylinders
• On accelerated flows of a viscoelastic fluid with the fractional Burgers' model
• Starting solutions for the oscillating motion of a Maxwell fluid in cylindrical domains
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fluids of differential type: Critical review and thermodynamic analysis
• Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model.
• On Mittag-Leffler-type functions in fractional evolution processes
• Exact solutions for some simple flows of an Oldroyd-B fluid
• Analysis of Dynamic Behaviour of Viscoelastic Rods Whose Rheological Models Contain Fractional Derivatives of Two Different Orders
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity