A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
From MaRDI portal
Publication:873010
DOI10.1016/S0020-7462(01)00121-4zbMath1346.76009MaRDI QIDQ873010
Tan Wenchang, X. Mingyu, Pan Wenxiao
Publication date: 28 March 2007
Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Fractional partial differential equations (35R11)
Related Items (only showing first 100 items - show all)
A subdiffusive Navier-Stokes-Voigt system ⋮ Solvability of linear boundary value problems for subdiffusion equations with memory ⋮ Decay of vortex velocity and diffusion of temperature in a generalized second-grade fluid ⋮ Finite difference-finite element approach for solving fractional Oldroyd-B equation ⋮ Axial couette flow of two kinds of fractional viscoelastic fluids in an annulus ⋮ Exact solutions of the Rayleigh-Stokes problem for a heated generalized second grade fluid in a porous half-space ⋮ Electroosmotic and pressure-driven slip flow of fractional viscoelastic fluids in microchannels ⋮ Exact solutions in generalized Oldroyd-B fluid ⋮ A Fourier method and an extrapolation technique for Stokes' first problem for a heated generalized second-grade fluid with fractional derivative ⋮ Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second-grade fluid with fractional derivatives ⋮ Exact solutions of accelerated flows for a Burgers' fluid. I: The case \(\gamma <\lambda ^2/4\) ⋮ Peristaltic flow of viscoelastic fluid with fractional Maxwell model through a channel ⋮ Solutions with Wright function for time fractional free convection flow of Casson fluid ⋮ A Cauchy-type problem involving a weighted sequential derivative in the space of integrable functions ⋮ Exact solution on unsteady Couette flow of generalized Maxwell fluid with fractional derivative ⋮ Hyers-Ulam stability for a coupled system of fractional differential equation with \(p\)-Laplacian operator having integral boundary conditions ⋮ Exact solutions for some oscillating flows of a second grade fluid with a fractional derivative model ⋮ Electromagnetohydrodynamic (EMHD) flow of fractional viscoelastic fluids in a microchannel ⋮ Numerical analysis for viscoelastic fluid flow with distributed/variable order time fractional Maxwell constitutive models ⋮ Existence and uniqueness for a problem involving hilfer fractional derivative ⋮ The Rayleigh--Stokes problem for a heated generalized second-grade fluid with fractional derivative model ⋮ Lie group analysis and similarity solutions for hydro-magnetic Maxwell fluid through a porous medium ⋮ Exact solutions for unsteady unidirectional flows of a generalized second-order fluid through a rectangular conduit ⋮ Computational challenge of fractional differential equations and the potential solutions: a survey ⋮ A Cauchy-type problem with a sequential fractional derivative in the space of continuous functions ⋮ Unsteady helical flows of a generalized Oldroyd-B fluid ⋮ Numerical algorithm for solving the Stokes' first problem for a heated generalized second grade fluid with fractional derivative ⋮ Unsteady rotating flows of a viscoelastic fluid with the fractional Maxwell model between coaxial cylinders ⋮ Stokes' first problem for a viscoelastic fluid with the generalized Oldroyd-B model ⋮ Numerical analysis for rotating electro-osmotic flow of fractional Maxwell fluids ⋮ Multistep schemes for one and two dimensional electromagnetic wave models based on fractional derivative approximation ⋮ On the unsteady rotational flow of fractional Oldroyd-B fluid in cylindrical domains ⋮ On the unsteady rotational flow of a fractional second grade fluid through a circular cylinder ⋮ Exact solutions for the unsteady rotational flow of an Oldroyd-B fluid with fractional derivatives induced by a circular cylinder ⋮ Start-up flow of a viscoelastic fluid in a pipe with a fractional Maxwell's model ⋮ Numerical analysis for electroosmotic flow of fractional Maxwell fluids ⋮ Time-dependent three-dimensional flow and mass transfer of elastico-viscous fluid over unsteady stretching sheet ⋮ Radiation effects on MHD flow of Maxwell fluid in a channel with porous medium ⋮ Numerical algorithm for two dimensional fractional Stokes' first problem for a heated generalized second grade fluid with smooth and non-smooth solution ⋮ 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 ⋮ A space fractional constitutive equation model for non-Newtonian fluid flow ⋮ Numerical approach to the controllability of fractional order impulsive differential equations ⋮ Solutions of the space-time fractional Cattaneo diffusion equation ⋮ A mathematical model for the peristaltic flow of chyme movement in small intestine ⋮ Exact solutions for the unsteady rotating flows of a generalized Maxwell fluid with oscillating pressure gradient between coaxial cylinders ⋮ Peristaltic transport of fractional Maxwell fluids in uniform tubes: applications in endoscopy ⋮ Translational flows of an Oldroyd-B fluid with fractional derivatives ⋮ Applications of separation variables approach in solving time-fractional PDEs ⋮ Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model. ⋮ A note on the unsteady flow of a fractional Maxwell fluid through a circular cylinder ⋮ Flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate ⋮ Peristaltic propulsion of generalized Burgers' fluids through a non-uniform porous medium: a study of chyme dynamics through the diseased intestine ⋮ Analytical and numerical solutions of the unsteady 2D flow of MHD fractional Maxwell fluid induced by variable pressure gradient ⋮ MHD flow of thermally radiative Maxwell fluid past a heated stretching sheet with Cattaneo-Christov dual diffusion ⋮ An exact solution of start-up flow for the fractional generalized Burgers' fluid in a porous half-space ⋮ Flow of a generalized Oldroyd-B fluid due to a constantly accelerating plate ⋮ A hybrid technique for the solution of unsteady Maxwell fluid with fractional derivatives due to tangential shear stress ⋮ Separation variable method combined with integral bifurcation method for solving time-fractional reaction-diffusion models ⋮ Mild solutions to fractional differential inclusions with nonlocal conditions ⋮ Analysis of viscoelastic non-Newtonian fluid over a vertical forward-facing step using the Maxwell fractional model ⋮ Flow and heat transfer of double fractional Maxwell fluids over a stretching sheet with variable thickness ⋮ Exact solutions of Rayleigh-Stokes problem for heated generalized Maxwell fluid in a porous half-space ⋮ Well posedness of a linearized fractional derivative fluid model ⋮ Some unsteady unidirectional flows of a generalized Oldroyd-B fluid with fractional derivative ⋮ Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs ⋮ Idea of invariant subspace combined with elementary integral method for investigating exact solutions of time-fractional NPDEs ⋮ Analytical and numerical solutions of a multi-term time-fractional Burgers' fluid model ⋮ Oscillating flow of a viscoelastic fluid in a pipe with the fractional Maxwell model ⋮ Artificial boundary condition for a modified fractional diffusion problem ⋮ Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid ⋮ Influence of thermal radiation and joule heating on MHD flow of a Maxwell fluid in the presence of thermophoresis ⋮ Numerical solution for Stokes' first problem for a heated generalized second-grade fluid with fractional derivative ⋮ A note on the unsteady flow of a generalized second-grade fluid through a circular cylinder subject to a time dependent shear stress ⋮ Unsteady flow with heat and mass transfer of a third grade fluid over a stretching surface in the presence of chemical reaction ⋮ Fractional calculus description of nonlinear viscoelastic behaviour of polymers ⋮ Unsteady boundary layer flow of viscoelastic MHD fluid with a double fractional Maxwell model ⋮ Unsteady longitudinal flow of a generalized Oldroyd-B fluid in cylindrical domains ⋮ Exact solutions for the rotational flow of a generalized Maxwell fluid between two circular cylinders ⋮ Mechanism of complicated volume deformation in polymers and its fractional time-based description ⋮ Finite volume method for mixed convection boundary layer flow of viscoelastic fluid with spatial fractional derivatives over a flat plate ⋮ Analytical solutions of oscillating Couette-Poiseuille flows for the viscoelastic Oldroyd B fluid ⋮ Solutions with wright functions for time fractional convection flow near a heated vertical plate ⋮ Decomposition methods for coupled 3D equations of applied mathematics and continuum mechanics: partial survey, classification, new results, and generalizations ⋮ Exact solutions of Stokes' first problem for heated generalized Burgers' fluid in a porous half-space ⋮ Flow of a generalized second-grade fluid between two side walls perpendicular to a plate with a fractional derivative model ⋮ Flow of a Maxwell fluid between two side walls due to a suddenly moved plate ⋮ Exact solutions of starting flows for a fractional Burgers' fluid between coaxial cylinders ⋮ Exact solutions for electro-osmotic flow of viscoelastic fluids in rectangular micro-channels ⋮ The Rayleigh-Stokes problem for an edge in a viscoelastic fluid with a fractional derivative model ⋮ On accelerated flows of a viscoelastic fluid with the fractional Burgers' model ⋮ The Rayleigh Stokes problem for rectangular pipe for Maxwell and second grade fluid ⋮ Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate ⋮ Exact solutions for the axial Couette flow of a fractional Maxwell fluid in an annulus ⋮ Subordination in a class of generalized time-fractional diffusion-wave equations ⋮ Starting solutions for a viscoelastic fluid with fractional Burgers' model in an annular pipe ⋮ Exact solutions of MHD second Stokes flow of generalized Burgers fluid ⋮ Bounds on the solution of a Cauchy-type problem involving a weighted sequential fractional derivative ⋮ Initial-boundary value problems for multi-term time-fractional wave equations ⋮ The space-time coupled fractional Cattaneo-Friedrich Maxwell model with Caputo derivatives ⋮ Unsteady motions of a generalized second-grade fluid
This page was built for publication: A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
