Heat Transfer Of Viscoelastic Fluid Research Articles

An Analytical Study of the Flow and Heat Transfer of Viscoelastic Fluid Between Two Wavy Walls Situated Symmetrically About a Mid Plane

An Analytical Study of the Flow and Heat Transfer of Viscoelastic Fluid Between Two Wavy Walls Situated Symmetrically About a Mid Plane

The distributed order models to characterize the flow and heat transfer of viscoelastic fluid between coaxial cylinders

The distributed order fractional derivatives can describe complex dynamic systems. In this paper, considering the periodic pressure gradient and magnetic field, the time distributed order fractional governing equations are established to simulate the two-dimensional flow and heat transfer of viscoelastic fluid between coaxial cylinders. Numerical solutions are obtained by the L1 approximation for the Caputo derivative (L1-scheme) and the finite difference method, and the effectiveness of numerical method is verified by a numerical example. Results demonstrate that the time distributed fractional Maxwell model can promote the flow while the distributed Cattaneo model can weaken heat transfer than the fractional Maxwell and Cattaneo model, and different weight coefficients have different effects on the fluid. The effect of physical parameters, such as the relaxation time of velocity and temperature λ 1, λ 2, the magnetic parameter M, the amplitude P 0 and frequency w of pressure gradient, and the Prandtl number Pr on velocity and temperature are discussed and analysed in detail.

Flow and heat transfer of viscoelastic fluid with a novel space distributed-order constitution relationship

The space distributed-order constitution relationship is firstly formulated to study the flow and heat transfer in the boundary layer. The distributed-order boundary layer equations are derived and approximated by a multi-space fractional order ones, which are then solved by the implicit difference schemes. By comparing the analytical solutions of special boundary conditions, the validity of the present numerical method is examined. Then, the stability and convergence of the implicit finite difference scheme are analysed systematically. Finally, we present two practical examples to illustrate the effectiveness of our numerical method. Furthermore, the numerical technique in this study can be extended to others distributed-order boundary layer models.

Unsteady natural convection boundary layer flow and heat transfer past a vertical flat plate with novel constitution models

Seeking proper and reasonable constitutive relations to study the characteristics of flow and heat transfer of viscoelastic fluid is a hot topic in recent years. In this work, a new distributed order time fractional constitution model is put forward to analyse the unsteady natural convection boundary layer flow and heat transfer, in which the magnetic field effect is considered. The mid-point quadrature method is applied to approach the distributed order integrals and the L1-formula is employed to discrete the time fractional derivatives. The influences of different involved parameters on the velocity and temperature distributions and the comparisons of the distributions with different constitution models are presented by graphical illustrations and discussed in detail.

Finite volume method for mixed convection boundary layer flow of viscoelastic fluid with spatial fractional derivatives over a flat plate

A new fractional finite volume method is developed for the mixed convection boundary layer flow and heat transfer of viscoelastic fluid over a flat plate. The spatial fractional derivative of the Riemann–Liouville type is employed in the constitutive relation and modified Fourier’s law respectively. Nonlinear and coupled boundary layer governing equations are formulated with non-uniform boundary conditions. The discretized scheme combined with the shifted Grunwald–Letnikov formula is proved to be conditionally stable, further the convergence and accuracy of the numerical solutions are presented. Results demonstrate that space fractional derivative parameters have strong effects on the velocity and temperature distributions. Moreover, the viscoelastic fluid with spatial fractional derivative performs stress relaxation with distance from the intersections of velocity profiles.

Effects of elasticity on unsteady forced convective heat transfer of viscoelastic fluid around a cylinder in the presence of viscous dissipation

The effects of elasticity on flow structures and forced convection heat transfer of a viscoelastic fluid around a cylinder were studied numerically using a finite volume method for the first time. In addition, the effects of viscous dissipation on flow and heat transfer parameters were studied over a wide range of Brinkman number (Br). The accurate non-linear Phan-Thien–Tanner model was used to describe the viscoelastic behavior of a polymer solution with a high retardation ratio (β = 0.6) over a wide range of Weissenberg (Wi) and Reynolds numbers (Re). The fluid properties were considered to be temperature-dependent. The results showed that the role of elastic effects in vortex shedding is a depreciator for Wi < 0.5 and an amplifier for Wi > 0.5. The Nusselt number was monotonically increased up to 52.2% with increasing Wi, β, Prandtl number (Pr), and Br over a wide range. The elastic forces affected the physical parameters by contrasting with the viscous forces so that the effects of elastic forces were weaker for high Reynolds numbers. Both hydrodynamic and thermal boundary layers were thinner in a viscoelastic fluid, compared to a Newtonian fluid. In addition, a correlation for variations of the drag coefficient with Wi and two correlations for variations of drag coefficient and Strouhal number with Re for Newtonian and viscoelastic fluid were proposed. Finally, the effects of Wi, Pr, Br, and model parameters on the Nu, St, drag, and lift coefficient and the distribution of stress components, velocity, and temperature were examined.

Analytical Solution to MHD Flow and Heat Transfer of Visco-Elastic Fluid Over an Exponentially Stretching Sheet in Porous Media with Viscous Dissipation

Analytical Solution to MHD Flow and Heat Transfer of Visco-Elastic Fluid Over an Exponentially Stretching Sheet in Porous Media with Viscous Dissipation

An Analytical Solution to MHD Flow and Heat Transfer of Visco-elastic Fluid Over an Exponentially Stretching Sheet through Porous Media With Non-Uniform Heat Source/Sink

An Analytical Solution to MHD Flow and Heat Transfer of Visco-elastic Fluid Over an Exponentially Stretching Sheet through Porous Media With Non-Uniform Heat Source/Sink

MIXED CONVECTION HEAT TRANSFER OF VISCOELASTIC FLUID ALONG AN INCLINED PLATE OBEYING THE FRACTIONAL CONSTITUTIVE LAWS

MIXED CONVECTION HEAT TRANSFER OF VISCOELASTIC FLUID ALONG AN INCLINED PLATE OBEYING THE FRACTIONAL CONSTITUTIVE LAWS

Time-space dependent fractional viscoelastic MHD fluid flow and heat transfer over accelerating plate with slip boundary

The MHD flow and heat transfer of viscoelastic fluid over an accelerating plate with slip boundary are investigated. Different from most classical works, a modified time-space dependent fractional Maxwell fluid model is proposed in depicting the constitutive relationship of the fluid. Numerical solutions are obtained by explicit finite difference approximation and exact solutions are also presented for the limiting cases in integral and series forms. Furthermore, the effects of parameters on the flow and heat transfer behavior are analyzed and discussed in detail.

Numerical Computations on Heat Transfer Characteristics from the Cavity Bottom in Parallel Plates Swept by Viscoelastic Fluid

A two dimensional numerical study on flow and heat transfer of viscoelastic fluid in a cavity has been performed in order to investigate how effective the heat transfer augmentation technology is by using the Barus effect in the region of low Reynolds and Weissenberg numbers on the bottom wall of the cavity between ribs mounted in the parallel plates. In this paper, the heat transfer characteristics on the bottom of the cavity were focused on. The cavity length and the rib height were changed in three steps, respectively, while the wide flow path width and the solid wall temperature were kept constant. The solvent Reynolds number based on the rib height was set at 100. From the results, it is found that the flow penetration into the cavity effectively occurs just at the inlet of the cavity in the cases of viscoelastic fluids, while a large recirculating region is formed there for the cases of water. The local Nusslt number takes peaks at the position corresponding to the peak positions of velocity gradients on the bottom wall. It is also found that the mean Nusselt number increases with rib height and cavity length. However, the increase rate on the cavity length becomes smaller in a large cavity length region. This indicates there exists the optimum geometric condition and that the present technology has an advantage for making the heat exchanger compact in comparison with that using a water flow.