Unsteady motions of a generalized second-grade fluid

In this paper, six types of unsteady flows are examined, namely, the impulsive flow, flow caused by a constantly accelerated plate, flows induced by impulsive and constant pressure gradients, flows induced by plate motions, flow imposed by a flat plate that applies a constant tangential stress to the fluid, and flow generated by an oscillating rigid plate. A generalized second-grade model with the fractional calculus is considered. Exact analytical solutions of unsteady flows have been constructed by using discrete Laplace transform of fractional derivatives.

• Publication year

  2005

• Venue

  Mathematical and computer modelling

• Publication date

  2005-03-01

• Fields of study

  Mathematics, Physics, Computer Science, Engineering

• Identifiers
  DOI 10.1016/j.mcm.2005.01.029
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates

  2003cited by this paper
• Characteristic-value analysis for plastic dynamic buckling of columns under elastoplastic compression waves

  2003cited by this paper
• An exact solution of unsteady Couette flow of generalized second grade fluid

  2002cited by this paper
• The impulsive motion of flat plate in a generalized second grade fluid

  2002cited by this paper
• A new method for solving dynamic problems of fractional derivative viscoelasticity

  2001cited by this paper
• Applications Of Fractional Calculus In Physics

  2000cited by this paper
• On the moment of a plane disk in a non-Newtonian fluid

  1999cited by this paper
• Anomalous stability behavior of a properly invariant constitutive equation which generalises fractional derivative models

  1999cited by this paper
• Periodic flows of a non-Newtonian fluid between two parallel plates

  1999cited by this paper
• Periodic unsteady flows of a non-Newtonian fluid

  1998cited by this paper
• On Boundary Conditions for Fluids of the Differential Type

  1995cited by this paper
• Fluids of differential type: Critical review and thermodynamic analysis

  1995cited by this paper
• Steady flows of non‐Newtonian fluids past a porous plate with suction or injection

  1993cited by this paper
• Non-similar flow of a non-Newtonian fluid past a wedge

  1993cited by this paper
• An Introduction to the Fractional Calculus and Fractional Differential Equations

  1993cited by this paper
• Fractional Integrals and Derivatives: Theory and Applications

  1993cited by this paper
• Certain solutions of the equations of the planar motion of a second grade fluid for steady and unsteady cases

  1992cited by this paper
• Flow of viscoelastic fluids between rotating disks

  1992cited by this paper
• The Non-Linear Field Theories Of Mechanics

  1992cited by this paper
• Flow of a non-Newtonian fluid past a wedge

  1991cited by this paper
• On a novel approach to the problem of the concentration of elastic stresses near a crack

  1991cited by this paper
• Continuum mechanics and its applications

  1990cited by this paper
• An existence theorem for the flow of a non-newtonian fluid past an infinite porous plate

  1986cited by this paper
• An exact solution for the flow of a non-newtonian fluid past an infinite porous plate

  1984cited by this paper
• On the creeping flow of the second-order fluid

  1984cited by this paper
• Certain inverse solutions of a non-Newtonian fluid

  1984cited by this paper
• Flow of a viscoelastic fluid over a stretching sheet

  1984cited by this paper
• A note on the falkner-skan flows of a non-newtonian fluid

  1983cited by this paper
• A note on unsteady unidirectional flows of a non-Newtonian fluid

  1982cited by this paper
• The flow of a second order fluid between rotating parallel plates

  1981cited by this paper
• Uniqueness and drag for fluids of second grade in steady motion

  1978cited by this paper
• On the Flow of a Non‐Newtonian Fluid past a Porous Flat Plate

  1975cited by this paper
• Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade

  1974cited by this paper
• A boundary-layer in an elastico-viscous fluid

  1969cited by this paper
• Flow of a particular class of non-Newtonian visco-elastic and visco-inelastic fluids near a stagnation point

  1962cited by this paper
• The flow of a non-Newtonian liquid near a stagnation point

  1958cited by this paper
• Handbuch der Physik

  1957cited by this paper
• Stress-Deformation Relations for Isotropic Materials

  1955cited by this paper

• Effect of Magnetic Field Inclination on Radiative MHD Casson Fluid Flow over a Tilted Plate in a Porous Medium Using a Caputo Fractional Model

  2025cites this paper
• NEW SOLUTIONS FOR LUBRICANT VISCOSITYAND TEMPERATURE VARIATIONS ACROSS THE THIN FILM ONARBITRARY SLIDING BEARING SURFACES

  2025cites this paper
• Modeling and analysis of a generalized second-grade thin liquid film flowing over a heated incline

  2025cites this paper
• Unsteady Radiative MHD Casson Fluid Flow Over an Impulsively Started Porous Plate With Caputo Fractional Derivatives

  2025cites this paper
• Coupling model of a generalized second grade fluid flow and fractional Cattaneo heat transfer with magnetic field and radiation

  2024cites this paper
• Fractional Second-Grade Fluid Flow over a Semi-Infinite Plate by Constructing the Absorbing Boundary Condition

  2024cites this paper
• ANN‐driven insights into heat and mass transfer dynamics in chemical reactive fluids across variable‐thickness surfaces

  2024cites this paper
• Effect of Newtonian heating on double convection flow fractional differential type fluid

  2023cites this paper
• Heat-mass transfer of MHD second grade fluid flow with exponential heating, chemical reaction and porosity by using fractional Caputo-Fabrizio derivatives

  2022cites this paper
• Caputo–Fabrizio fractional model of MHD second grade fluid with Newtonian heating and heat generation

  2022cites this paper
• Thermal slip and homogeneous/heterogeneous reaction characteristics of second-grade fluid flow over an exponentially stretching sheet

  2021cites this paper
• MHD flow of generalized second grade fluid with modified Darcy’s law and exponential heating using fractional Caputo-Fabrizio derivatives

  2021cites this paper
• Mathematical modeling and simulation for the flow of magneto-Powell-Eyring fluid in an annulus with concentric rotating cylinders

  2020cites this paper
• Numerical Study on Second-Grade Fluid Flow Problems Using Analysis of Fractional Derivatives Under Fuzzy Environment

  2020cites this paper
• Thermal stratification of rotational second-grade fluid through fractional differential operators

  2020cites this paper
• Chemical reaction effectiveness in non-Darcian nanofluid radiated flow considering entropy generation

  2019cites this paper
• Numerical approximation for MHD flows of generalized viscoelastic fluid

  2019cites this paper
• A Transient Flow of a Non-Newtonian Fluid Modelled by a Mixed Time-Space Derivative: An Improved Integral-Balance Approach

  2018cites this paper
• Analysis of hydrodynamic lubrication of journal bearings with oil of non-Newtonian properties

  2018cites this paper
• Exploitation parameters of the transverse slider bearings, lubricated with used oil of non-Newtonian properties

  2018cites this paper
• Analysis of the Influence of the Changes in the Value of Dynamic Viscosity Coefficient in the Direction of Oil Film Thickness on the Journal Bearing Load Carrying Capacity

  2018cites this paper
• Influence of an External Magnetic Field on the Flow of a Casson Fluid in Micro-Annulus Between Two Concentric Cylinders

  2018cites this paper
• O nly Transient electroosmotic flow of generalized second grade fluids under slip boundary conditions

  2017cites this paper
• Transient electroosmotic flow of generalized second grade fluids under slip boundary conditions

  2017cites this paper
• Carrying Capacity and Friction Forces in a Transverse Journal Bearing, Lubricated with Non-Newtonian Oil

  2017cites this paper
• MHD Flow and Heat Transfer of a Generalized Burgers' Fluid Due to an Exponential Accelerating Plate with Effects of the Second Order Slip and Viscous Dissipation

  2017cites this paper
• A hybrid technique for the solution of unsteady Maxwell fluid with fractional derivatives due to tangential shear stress

  2017cites this paper
• Heat transfer analysis of fractional second-grade fluid subject to Newtonian heating with Caputo and Caputo-Fabrizio fractional derivatives: A comparison

  2017cites this paper
• Analytical Solution for the Flow of a Generalized Oldroyd-B Fluid in a Circular Cylinder

  2017cites this paper
• Flow of Generalized Burger’s Fluid in Rayleigh Stokes Problem

  2017cites this paper
• Analytical and numerical study of electroosmotic slip flows of fractional second grade fluids

  2017cites this paper
• A hybrid technique for the solution of unsteady Maxwell fluid with fractional derivatives due to tangential shear stress

  2017cites this paper
• Slip effects on a generalized Burgers’ fluid flow between two side walls with fractional derivative

  2016cites this paper
• Analysis of the load carrying capacities and the friction force in the gap of the slide journal bearing lubricated with a non-Newtonian oil described by a power-law model

  2016cites this paper
• Heat transfer analysis in a second grade fluid over and oscillating vertical plate using fractional Caputo–Fabrizio derivatives

  2016cites this paper
• Exact Solutions for Unsteady Free Convection Flow of Casson Fluid over an Oscillating Vertical Plate with Constant Wall Temperature

  2015cites this paper
• Series Solutions of Lifting and Drainage Problems of a Nonisothermal Modified Second Grade Fluid Using a Vertical Cylinder

  2014cites this paper
• New Exact Solutions for Stokes First Problem of a Generalized Jeffreys Fluid in a Porous Half Space

  2013cites this paper
• Homotopy analysis method for space‐time fractional differential equations

  2013cites this paper
• Exact solutions in generalized Oldroyd-B fluid

  2012cites this paper
• ON ANALYTICAL STUDY OF FACTIONAL OLDROYD-B FLOW IN ANNULAR REGION OF TWO TORSIONALLY OSCILLATING CYLINDERS

  2012cites this paper
• Exact solutions in generalized Oldroyd-B fluid

  2012cites this paper
• Analytical Solutions for the Flow of a Fractional Second Grade Fluid due to a Rotational Constantly Accelerating Shear

  2012cites this paper
• Advancements in the Theory of Generalized non-Newtonian Fluids

  2011cites this paper
• Fractional stochastic description of hinge motions in single protein molecules

  2011cites this paper
• New Results in the Theory of Ordinary and Generalized Non-Newtonian Fluids

  2011cites this paper
• Taylor–Couette flow of a fractional second grade fluid in an annulus due to a time-dependent couple

  2011cites this paper
• Taylor-Couette flow of a generalized second grade fluid due to a constant couple

  2010cites this paper
• Helical flow of an Oldroyd-B fluid due to a circular cylinder subject to time-dependent shear stresses

  2010cites this paper
• On exact solutions for some oscillating motions of a generalized Oldroyd-B fluid

  2010cites this paper
• Unsteady flow of a generalized Oldroyd-B fluid due to an infinite plate subject to a time-dependent shear stress

  2010cites this paper
• Thin Film Flow of a Second Grade Fluid over a Stretching/Shrinking Sheet with Variable Temperature-Dependent Viscosity

  2010cites this paper
• Flow of a generalized second-grade fluid between two side walls perpendicular to a plate with a fractional derivative model

  2009cites this paper
• On accelerated flows of a viscoelastic fluid with the fractional Burgers’ model

  2009cites this paper
• Analytical Solutions for Some Unsteady Flows of Second Grade and Rate Type Fluids

  2009cites this paper
• Some accelerated flows for a generalized Oldroyd-B fluid

  2009cites this paper
• Exact solutions for some oscillating flows of a second grade fluid with a fractional derivative model

  2009cites this paper
• Decay of potential vortex for a viscoelastic fluid with fractional Maxwell model

  2009cites this paper
• Exact analytic solutions for the unsteady flow of a non-Newtonian fluid between two cylinders with fractional derivative model

  2009cites this paper
• Exact solution for the rotational flow of a generalized second grade fluid in a circular cylinder

  2009cites this paper
• Exact solutions for electro-osmotic flow of viscoelastic fluids in rectangular micro-channels

  2009cites this paper
• Exact solutions for a viscoelastic fluid with the generalized Oldroyd-B model

  2009cites this paper
• Some exact solutions for fractional generalized Burgers’ fluid in a porous space

  2008cites this paper
• Flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate

  2008cites this paper
• Flows of Incompressible Fluids subject to Navier's slip on the boundary

  2008cites this paper
• On some generalizations of the second grade fluid model

  2008cites this paper
• Stokes’ first problem for a viscoelastic fluid with the generalized Oldroyd-B model

  2007cites this paper
• Analytic solution for rotating flow and heat transfer analysis of a third-grade fluid

  2007cites this paper
• Some New Results in the Theory of Fractional Second Grade and Ordinary Oldroyd-B Fluids

  2007cites this paper
• On the MHD flow of fractional generalized Burgers’ fluid with modified Darcy’s law

  2007cites this paper
• International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS EXACT SOLUTION FOR MHD FLOW OF A GENERALIZED OLDROYD-B FLUID WITH MODIFIED

  2006cites this paper
• Exact solution for MHD flow of a generalized Oldroyd-B fluid with modified Darcy’s law

  2006cites this paper
• Some New Results in the Theory of Non-Newtonian Fluids. Exact Solutions and Energetic Balance

  2005cites this paper
• Computers and Mathematics with Applications

  year unknowncites this paper