A New Model for Plastic-Viscoelastic Magnetohydrodynamic (MHD) Flow with Radiation Thermal Transfer
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Abstract
This paper presents a research for plastic-viscoelastic magnetohydrodynamic (MHD) flow with radiation thermal transfer. A new model is firstly proposed by modifying the classical Maxwell viscoelastic fluid model with the power-law fluid as the damping fluid to substitute the Newtonian fluid as a dashpot. The serial connection gives the nonlinear partial differential equation models. Taylor expansion is used to reduce the nonlinear equation models into linear ones and the analytical solutions are obtained for velocity and temperature fields in terms of G function and Pochhammer polynomial. Moreover, some graphs are presented for associated parameters and the corresponding flow and heat transfer characteristics are analyzed. The ideas and methods of this paper may be used to study other fluid model, such as the generalized Oldroyd-B Fluid or the generalized Burgers' fluid.
©[2013] by Walter de Gruyter Berlin Boston
Articles in the same Issue
- Masthead
- A New Model for Plastic-Viscoelastic Magnetohydrodynamic (MHD) Flow with Radiation Thermal Transfer
- New Exact Solutions for an Oldroyd-B Fluid with Fractional Derivatives: Stokes' First Problem
- A Modified Variational Iteration Method for Nonlinear Oscillators
- Behavioral Modeling of SNFS for Synthesizing Multi-Scroll Chaotic Attractors
- Solving a System of Linear and Nonlinear Fractional Partial Differential Equations Using Homotopy Perturbation Method
- On a Problem of Nonstationary 2D Motion of Micropolar Fluid in the Half-plane Subjected to a Uniform Magnetic Field when Normal Stresses and Tangential Velocities are Given on the Boundary
- Non-equilibrium Shock Structure Calculation with High-order Modified Navier–Stokes Equations
- A New Coupled Fractional Reduced Differential Transform Method for Solving Time Fractional Coupled KdV Equations
- A New Nonlinear Integrable Couplings of Solioton Hierarchy and its Hamiltonian Structure with Kronecker Product
- Control Volume Based Finite Element Method Study of Nano-fluid Natural Convection Heat Transfer in an Enclosure Between a Circular and a Sinusoidal Cylinder
- Hybrid Modulus-phase Synchronization of Hyperchaotic Complex Systems and its Application to Secure Communication
Articles in the same Issue
- Masthead
- A New Model for Plastic-Viscoelastic Magnetohydrodynamic (MHD) Flow with Radiation Thermal Transfer
- New Exact Solutions for an Oldroyd-B Fluid with Fractional Derivatives: Stokes' First Problem
- A Modified Variational Iteration Method for Nonlinear Oscillators
- Behavioral Modeling of SNFS for Synthesizing Multi-Scroll Chaotic Attractors
- Solving a System of Linear and Nonlinear Fractional Partial Differential Equations Using Homotopy Perturbation Method
- On a Problem of Nonstationary 2D Motion of Micropolar Fluid in the Half-plane Subjected to a Uniform Magnetic Field when Normal Stresses and Tangential Velocities are Given on the Boundary
- Non-equilibrium Shock Structure Calculation with High-order Modified Navier–Stokes Equations
- A New Coupled Fractional Reduced Differential Transform Method for Solving Time Fractional Coupled KdV Equations
- A New Nonlinear Integrable Couplings of Solioton Hierarchy and its Hamiltonian Structure with Kronecker Product
- Control Volume Based Finite Element Method Study of Nano-fluid Natural Convection Heat Transfer in an Enclosure Between a Circular and a Sinusoidal Cylinder
- Hybrid Modulus-phase Synchronization of Hyperchaotic Complex Systems and its Application to Secure Communication
