Computers and Mathematics with Applications, ISSN 0898-1221, 2009, Volume 57, Issue 4, pp. 596 - 603

The velocity field and the adequate shear stress corresponding to the unsteady flow of a generalized Maxwell fluid are determined using Fourier sine and...

Generalized Maxwell fluid | Unsteady flow | Constantly accelerating plate | MATHEMATICS, APPLIED | OLDROYD-B FLUID | MODEL | VISCOELASTIC FLUID | Maxwell fluids | Newtonian fluids | Shear stress | Fourier analysis | Mathematical models | Derivatives | Constraining

Generalized Maxwell fluid | Unsteady flow | Constantly accelerating plate | MATHEMATICS, APPLIED | OLDROYD-B FLUID | MODEL | VISCOELASTIC FLUID | Maxwell fluids | Newtonian fluids | Shear stress | Fourier analysis | Mathematical models | Derivatives | Constraining

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2008, Volume 201, Issue 1, pp. 834 - 842

The velocity field and the adequate shear stress corresponding to the unsteady flow of a generalized Oldroyd-B fluid due to a constantly accelerating plate...

Generalized Oldroyd-B fluid | Exact solutions | Constantly accelerating plate | MATHEMATICS, APPLIED | exact solutions | constantly accelerating plate | MOTION | generalized Oldroyd-B fluid | FRACTIONAL MAXWELL MODEL | VISCOELASTIC FLUID | MHD FLOW

Generalized Oldroyd-B fluid | Exact solutions | Constantly accelerating plate | MATHEMATICS, APPLIED | exact solutions | constantly accelerating plate | MOTION | generalized Oldroyd-B fluid | FRACTIONAL MAXWELL MODEL | VISCOELASTIC FLUID | MHD FLOW

Journal Article

Applied Mathematical Modelling, ISSN 0307-904X, 2007, Volume 31, Issue 4, pp. 647 - 654

The velocity field and the adequate tangential stress that is induced by the flow due to a constantly accelerating plate in an Oldroyd-B fluid, are determined...

Oldroyd-B fluid | Constantly accelerating plate | Exact solution | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | constantly accelerating plate | ENGINEERING, MULTIDISCIPLINARY | exact solution | PIPE | Mechanical engineering

Oldroyd-B fluid | Constantly accelerating plate | Exact solution | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | constantly accelerating plate | ENGINEERING, MULTIDISCIPLINARY | exact solution | PIPE | Mechanical engineering

Journal Article

Journal of Non-Newtonian Fluid Mechanics, ISSN 0377-0257, 2009, Volume 156, Issue 3, pp. 189 - 201

The unsteady flow of an incompressible generalized Oldroyd-B fluid induced by a constantly accelerating plate between two side walls perpendicular to the plate...

Generalized Oldroyd-B fluids | Side walls | Exact solutions | Constantly accelerating plate | constantly accelerating plate | MAXWELL MODEL | ANNULAR PIPE | NON-NEWTONIAN FLUID | MHD FLOW | MODIFIED DARCYS-LAW | UNSTEADY-FLOW | MECHANICS | POROUS SPACE | VISCOELASTIC FLUIDS | 1ST PROBLEM | BURGERS FLUID

Generalized Oldroyd-B fluids | Side walls | Exact solutions | Constantly accelerating plate | constantly accelerating plate | MAXWELL MODEL | ANNULAR PIPE | NON-NEWTONIAN FLUID | MHD FLOW | MODIFIED DARCYS-LAW | UNSTEADY-FLOW | MECHANICS | POROUS SPACE | VISCOELASTIC FLUIDS | 1ST PROBLEM | BURGERS FLUID

Journal Article

International Journal of Non-Linear Mechanics, ISSN 0020-7462, 2009, Volume 44, Issue 10, pp. 1039 - 1047

The velocity field and the adequate tangential stresses corresponding to the unsteady flow of an Oldroyd-B fluid induced by a constantly accelerating plate...

Side walls | Oldroyd-B fluid | Velocity field | Constantly accelerating plate | MECHANICS | MOTION | LIQUID | Fluids | Fluid dynamics | Newtonian fluids | Fluid flow | Shear stress | Fourier analysis | Unsteady flow | Walls

Side walls | Oldroyd-B fluid | Velocity field | Constantly accelerating plate | MECHANICS | MOTION | LIQUID | Fluids | Fluid dynamics | Newtonian fluids | Fluid flow | Shear stress | Fourier analysis | Unsteady flow | Walls

Journal Article

6.
Full Text
Flow of a Maxwell fluid between two side walls induced by a constantly accelerating plate

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 05/2009, Volume 60, Issue 3, pp. 498 - 510

The unsteady flow of a Maxwell fluid induced by a constantly accelerating plate between two side walls perpendicular to the plate is studied. Exact solutions...

Engineering | Mathematical Methods in Physics | constantly accelerating plate | velocity field | 76A05 | Maxwell fluid | Theoretical and Applied Mechanics | side walls | Side walls | Velocity field | Constantly accelerating plate | MATHEMATICS, APPLIED | MOTION

Engineering | Mathematical Methods in Physics | constantly accelerating plate | velocity field | 76A05 | Maxwell fluid | Theoretical and Applied Mechanics | side walls | Side walls | Velocity field | Constantly accelerating plate | MATHEMATICS, APPLIED | MOTION

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 3/2009, Volume 60, Issue 2, pp. 334 - 343

The unsteady flow of a viscoelastic fluid with the fractional Maxwell model, induced by a constantly accelerating plate between two side walls perpendicular to...

Engineering | Generalized Maxwell fluid | Mathematical Methods in Physics | fractional calculus | exact solutions | constantly accelerating plate | 76A05 | Theoretical and Applied Mechanics | side walls | Side walls | Fractional calculus | Exact solutions | Constantly accelerating plate | MATHEMATICS, APPLIED | FRACTIONAL RELAXATION | OLDROYD-B FLUID | MODEL | VISCOELASTIC FLUID

Engineering | Generalized Maxwell fluid | Mathematical Methods in Physics | fractional calculus | exact solutions | constantly accelerating plate | 76A05 | Theoretical and Applied Mechanics | side walls | Side walls | Fractional calculus | Exact solutions | Constantly accelerating plate | MATHEMATICS, APPLIED | FRACTIONAL RELAXATION | OLDROYD-B FLUID | MODEL | VISCOELASTIC FLUID

Journal Article

Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 2012, Volume 13, Issue 2, pp. 513 - 523

This paper presents an analysis for magnetohydrodynamic (MHD) flow of an incompressible generalized Oldroyd-B fluid inducing by an accelerating plate. Where...

Fox H-function | Oldroyd-B fluid | MHD flow | Slip condition | MATHEMATICS, APPLIED | ASYMMETRIC CHANNEL | WALL | MODEL | VISCOELASTIC FLUID | CONSTANTLY ACCELERATING PLATE | STOKES | PERISTALTIC TRANSPORT

Fox H-function | Oldroyd-B fluid | MHD flow | Slip condition | MATHEMATICS, APPLIED | ASYMMETRIC CHANNEL | WALL | MODEL | VISCOELASTIC FLUID | CONSTANTLY ACCELERATING PLATE | STOKES | PERISTALTIC TRANSPORT

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2010, Volume 60, Issue 1, pp. 74 - 82

Exact and approximate expressions for the power due to the shear stress at the wall L , the dissipation Φ and the boundary layer thickness δ are established...

Energetic balance | Oldroyd-B fluid | Kinetic energy | Boundary layer thickness | Power | Dissipation | MATHEMATICS, APPLIED | UNSTEADY UNIDIRECTIONAL FLOWS | NON-NEWTONIAN FLUID | MAXWELL FLUID | CONSTANTLY ACCELERATING PLATE | RAYLEIGH-STOKES PROBLEM | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | IMPULSIVE MOTION | 2ND-GRADE FLUID | Fluids | Approximation | Computational fluid dynamics | Asymptotic properties | Fluid flow | Shear stress | Mathematical models | Walls

Energetic balance | Oldroyd-B fluid | Kinetic energy | Boundary layer thickness | Power | Dissipation | MATHEMATICS, APPLIED | UNSTEADY UNIDIRECTIONAL FLOWS | NON-NEWTONIAN FLUID | MAXWELL FLUID | CONSTANTLY ACCELERATING PLATE | RAYLEIGH-STOKES PROBLEM | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | IMPULSIVE MOTION | 2ND-GRADE FLUID | Fluids | Approximation | Computational fluid dynamics | Asymptotic properties | Fluid flow | Shear stress | Mathematical models | Walls

Journal Article

Mathematical Reports, ISSN 1582-3067, 2016, Volume 18, Issue 1, pp. 85 - 108

The motion of incompressible fractional Oldroyd-B fluids between two parallel walls perpendicular to a plate that applies time-dependent shear stresses to the...

Shear stress | Side walls | Oldroyd-B fluid | Fractional derivative | MATHEMATICS | shear stress | INFINITE-PLATE | MOTION | VISCOELASTIC FLUIDS | fractional derivative | MODEL | CONSTANTLY ACCELERATING PLATE | CONSTITUTIVE EQUATION | INFLOW | side walls

Shear stress | Side walls | Oldroyd-B fluid | Fractional derivative | MATHEMATICS | shear stress | INFINITE-PLATE | MOTION | VISCOELASTIC FLUIDS | fractional derivative | MODEL | CONSTANTLY ACCELERATING PLATE | CONSTITUTIVE EQUATION | INFLOW | side walls

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 11/2016, Volume 72, Issue 9, pp. 2084 - 2097

This paper derives analytical solutions for a class of new multi-term fractional-order partial differential equations, which include the terms for spatial...

Generalized Burgers fluid | Multi-term fractional-order partial differential equations | Analytical solutions | Generalized Oldroyd-B fluid | Modified separation of variables method | FOKKER-PLANCK EQUATION | MATHEMATICS, APPLIED | MAXWELL MODEL | DIFFUSION EQUATION | CONSTANTLY ACCELERATING PLATE | MHD FLOW | NUMERICAL-SOLUTION | OLDROYD-B FLUID | EDGE | Differential equations | Fluids | Computational fluid dynamics | Mathematical analysis | Mathematical models | Unsteady flow | Diffusion | Navier-Stokes equations

Generalized Burgers fluid | Multi-term fractional-order partial differential equations | Analytical solutions | Generalized Oldroyd-B fluid | Modified separation of variables method | FOKKER-PLANCK EQUATION | MATHEMATICS, APPLIED | MAXWELL MODEL | DIFFUSION EQUATION | CONSTANTLY ACCELERATING PLATE | MHD FLOW | NUMERICAL-SOLUTION | OLDROYD-B FLUID | EDGE | Differential equations | Fluids | Computational fluid dynamics | Mathematical analysis | Mathematical models | Unsteady flow | Diffusion | Navier-Stokes equations

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 61, Issue 2, pp. 443 - 450

This paper presents an analytical study for the magnetohydrodynamic (MHD) flow of a generalized Oldroyd-B fluid. The fractional calculus approach is used to...

Fox [formula omitted]-function | Oldroyd-B fluid | Couette flow | Laplace transform | Analytical solution | Fox H-function | MATHEMATICS, APPLIED | VISCOELASTIC FLUID | CONSTANTLY ACCELERATING PLATE | Magnetohydrodynamics | Fluids | Computational fluid dynamics | Mathematical analysis | Exact solutions | Fluid flow | Mathematical models | Derivatives

Fox [formula omitted]-function | Oldroyd-B fluid | Couette flow | Laplace transform | Analytical solution | Fox H-function | MATHEMATICS, APPLIED | VISCOELASTIC FLUID | CONSTANTLY ACCELERATING PLATE | Magnetohydrodynamics | Fluids | Computational fluid dynamics | Mathematical analysis | Exact solutions | Fluid flow | Mathematical models | Derivatives

Journal Article

Numerical Methods for Partial Differential Equations, ISSN 0749-159X, 05/2019, Volume 35, Issue 3, pp. 875 - 893

In this paper, we consider a two‐dimensional multi‐term time‐fractional Oldroyd‐B equation on a rectangular domain. Its analytical solution is obtained by the...

fractional Oldroyd‐B model | multi‐term time‐fractional derivative | Caputo fractional derivative | finite difference method | multi-term time-fractional derivative | fractional Oldroyd-B model | MATHEMATICS, APPLIED | HEAT-TRANSFER | DIFFERENCE SCHEME | CONSTANTLY ACCELERATING PLATE | MHD FLOW | STOKES | TRANSPORT | 1ST PROBLEM | DIFFUSION | GENERALIZED BURGERS FLUID | Mathematical models | Approximation | Numerical methods | Finite difference method

fractional Oldroyd‐B model | multi‐term time‐fractional derivative | Caputo fractional derivative | finite difference method | multi-term time-fractional derivative | fractional Oldroyd-B model | MATHEMATICS, APPLIED | HEAT-TRANSFER | DIFFERENCE SCHEME | CONSTANTLY ACCELERATING PLATE | MHD FLOW | STOKES | TRANSPORT | 1ST PROBLEM | DIFFUSION | GENERALIZED BURGERS FLUID | Mathematical models | Approximation | Numerical methods | Finite difference method

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 10/2010, Volume 60, Issue 8, pp. 2231 - 2238

Unidirectional start-up flow of a viscoelastic fluid in a pipe with a fractional Maxwell's model is studied. The flow starting from rest is driven by a...

Start-up flow | Viscoelastic fluid | Fractional Maxwell's model | Heaviside operational calculus | Pipe flow | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | BEHAVIOR | NON-NEWTONIAN FLUID | RELAXATION | CONSTANTLY ACCELERATING PLATE

Start-up flow | Viscoelastic fluid | Fractional Maxwell's model | Heaviside operational calculus | Pipe flow | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | BEHAVIOR | NON-NEWTONIAN FLUID | RELAXATION | CONSTANTLY ACCELERATING PLATE

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2008, Volume 205, Issue 1, pp. 497 - 506

The velocity field and the adequate shear stress corresponding to the decay of a potential vortex in a generalized Oldroyd-B fluid are determined by means of...

Potential vortex | Generalized Oldroyd-B fluid | Exact solutions | MATHEMATICS, APPLIED | MAXWELL MODEL | ANNULAR PIPE | NON-NEWTONIAN FLUID | 1ST PROBLEM | CONSTANTLY ACCELERATING PLATE | STOKES | SIMPLE FLOWS

Potential vortex | Generalized Oldroyd-B fluid | Exact solutions | MATHEMATICS, APPLIED | MAXWELL MODEL | ANNULAR PIPE | NON-NEWTONIAN FLUID | 1ST PROBLEM | CONSTANTLY ACCELERATING PLATE | STOKES | SIMPLE FLOWS

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2008, Volume 56, Issue 12, pp. 3096 - 3108

The helical flow of an Oldroyd-B fluid with fractional derivatives, also named generalized Oldroyd-B fluid, in an infinite circular cylinder is studied using...

Generalized Oldroyd-B fluids | Exact solutions | Constantly accelerating plate | HALL CURRENT | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MAXWELL MODEL | ANNULAR PIPE | NON-NEWTONIAN FLUID | VISCOELASTIC FLUIDS | LIQUID | 2ND-GRADE FLUID | Fluids | Computational fluid dynamics | Mathematical analysis | Fluid flow | Helical flow | Mathematical models | Circular cylinders | Cylinders

Generalized Oldroyd-B fluids | Exact solutions | Constantly accelerating plate | HALL CURRENT | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MAXWELL MODEL | ANNULAR PIPE | NON-NEWTONIAN FLUID | VISCOELASTIC FLUIDS | LIQUID | 2ND-GRADE FLUID | Fluids | Computational fluid dynamics | Mathematical analysis | Fluid flow | Helical flow | Mathematical models | Circular cylinders | Cylinders

Journal Article

应用数学和力学：英文版, ISSN 0253-4827, 2016, Volume 37, Issue 2, pp. 137 - 150

This paper introduces a new model for the Fourier law of heat conduction with the time-fractional order to the generalized Maxwell fluid. The flow is...

radiation heat | Classical Mechanics | Maxwell fluid | O343 | fractional derivative | 35K05 | Mathematics | 35Q35 | O29 | 35R11 | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | heat source | Laplace transform | O357.1 | MATHEMATICS, APPLIED | BOUNDARY-LAYER | STRETCHING SHEET | VOLUME PROPERTIES | CONSTANTLY ACCELERATING PLATE | 2 RELAXATION-TIMES | MECHANICS | TEMPERATURE | OLDROYD-B FLUID | DIFFUSION | 2ND-GRADE FLUID | VISCOELASTIC MATERIAL | Conduction | Usage | Magnetohydrodynamics | Heat | Analysis | Differential equations | Laplace transformation | Models | Mathematical models | Maxwell equations

radiation heat | Classical Mechanics | Maxwell fluid | O343 | fractional derivative | 35K05 | Mathematics | 35Q35 | O29 | 35R11 | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | heat source | Laplace transform | O357.1 | MATHEMATICS, APPLIED | BOUNDARY-LAYER | STRETCHING SHEET | VOLUME PROPERTIES | CONSTANTLY ACCELERATING PLATE | 2 RELAXATION-TIMES | MECHANICS | TEMPERATURE | OLDROYD-B FLUID | DIFFUSION | 2ND-GRADE FLUID | VISCOELASTIC MATERIAL | Conduction | Usage | Magnetohydrodynamics | Heat | Analysis | Differential equations | Laplace transformation | Models | Mathematical models | Maxwell equations

Journal Article

力学学报：英文版, ISSN 0567-7718, 2012, Volume 28, Issue 2, pp. 308 - 314

In this note the velocity field and the adequate shear stress corresponding to the unsteady flow of a frac- tional Maxwell fluid due to a constantly...

圆柱 | 剪切应力 | 边界条件 | Hankel变换 | Maxwell流体 | 非定常流 | 分数阶 | 拉普拉斯 | Shear stress | Fractional Maxwell fluid | Velocity field | Exact solutions | MODEL | PIPE | CONSTANTLY ACCELERATING PLATE | ENGINEERING, MECHANICAL | MECHANICS | MOTION | ROTATIONAL FLOW | SIDE WALLS | GENERALIZED 2ND-GRADE FLUID | OLDROYD-B FLUID | VISCOELASTIC FLUID

圆柱 | 剪切应力 | 边界条件 | Hankel变换 | Maxwell流体 | 非定常流 | 分数阶 | 拉普拉斯 | Shear stress | Fractional Maxwell fluid | Velocity field | Exact solutions | MODEL | PIPE | CONSTANTLY ACCELERATING PLATE | ENGINEERING, MECHANICAL | MECHANICS | MOTION | ROTATIONAL FLOW | SIDE WALLS | GENERALIZED 2ND-GRADE FLUID | OLDROYD-B FLUID | VISCOELASTIC FLUID

Journal Article

The ANZIAM Journal, ISSN 1446-1811, 4/2010, Volume 51, Issue 4, pp. 416 - 429

The Poiseuille flow of a generalized Maxwell fluid is discussed. The velocity field and shear stress corresponding to the flow in an infinite circular cylinder...

exact solutions | generalized Maxwell fluid | time-dependent shear stress | MATHEMATICS, APPLIED | ANNULAR PIPE | NON-NEWTONIAN FLUID | MODEL | CONSTANTLY ACCELERATING PLATE | COAXIAL CYLINDERS | VISCOELASTIC FLUIDS | HELICAL FLOW | OLDROYD-B FLUID | COUETTE-FLOW

exact solutions | generalized Maxwell fluid | time-dependent shear stress | MATHEMATICS, APPLIED | ANNULAR PIPE | NON-NEWTONIAN FLUID | MODEL | CONSTANTLY ACCELERATING PLATE | COAXIAL CYLINDERS | VISCOELASTIC FLUIDS | HELICAL FLOW | OLDROYD-B FLUID | COUETTE-FLOW

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 11/2005, Volume 56, Issue 6, pp. 1098 - 1106

The velocity fields corresponding to some flows of second grade and Maxwell fluids, induced by a circular cylinder subject to a constantly accelerating...

second grade fluid | Engineering | Mathematical Methods in Physics | velocity field | Couette flows | 76A05 | Maxwell fluid | constantly accelerating cylinder | Theoretical and Applied Mechanics | tangential tensions | Second grade fluid | Tangential tensions | Velocity field | Constantly accelerating cylinder | MATHEMATICS, APPLIED | 2ND-ORDER FLUID | DOMAINS

second grade fluid | Engineering | Mathematical Methods in Physics | velocity field | Couette flows | 76A05 | Maxwell fluid | constantly accelerating cylinder | Theoretical and Applied Mechanics | tangential tensions | Second grade fluid | Tangential tensions | Velocity field | Constantly accelerating cylinder | MATHEMATICS, APPLIED | 2ND-ORDER FLUID | DOMAINS

Journal Article

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