Unsteady free convection heat and mass transfer in a Walters-B viscoelastic flow past a semi-infinite vertical plate: A numerical study

Prasad, V. Ramachandra; Vasu, B.; Anwar, Beg O.; Parshad, Rana D.

doi:10.2298/tsci101102002p

Cited by 25 publications

(14 citation statements)

References 35 publications

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“…The current study has been confined to steady-state flow, i.e., it ignored transient effects [14] and also neglected thermal radiation heat transfer effects [46]. These aspects are also of relevance to rheological food processing simulations and will be considered in future investigations.…”

Section: Discussionmentioning

confidence: 99%

“…Most non-Newtonian models involve some form of modification to the momentum conservation equations. These include power-law fluids [11], viscoelastic fluids including Maxwell upper-convicted models [12], Walters-B short memory models [13,14], Oldroyd-B models [15], differential Reiner-Rivlin models [16,17], and Bingham plastics [18]. The flow of non-Newtonian fluids in the presence of heat transfer is an important research area due to its relevance in the optimized processing of chocolate [19,51], toffee, and other foodstuffs [20].…”

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confidence: 99%

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Heat Transfer in a Casson Rheological Fluid from a Semi-infinite Vertical Plate with Partial Slip

Rao

Prasad²,

Reddy

et al. 2013

Heat Trans. Asian Res.

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The laminar boundary layer flow and heat transfer of Casson non-Newtonian fluid from a semi-infinite vertical plate in the presence of thermal and hydrodynamic slip conditions is analyzed. The plate surface is maintained at a constant temperature. Increasing velocity slip induces acceleration in the flow near the plate surface and the reverse effect further from the surface. Increasing velocity slip consistently enhances temperatures throughout the boundary layer regime. An increase in thermal slip parameter strongly decelerates the flow and also reduces temperatures in the boundary layer regime. An increase in the Casson rheological parameter acts to elevate considerably the skin friction (non-dimensional wall shear stress) and this effect is pronounced at higher values of tangential coordinate. Temperatures, however, are very slightly decreased with increasing values of Casson rheological parameter. IntroductionPohlhausen [1] first studied the free convection flow past a semi-infinite vertical plate by the momentum integral method because free convection flows have wide applications in industry. But the similarity solution to free convection flow past a semi-infinite vertical plate was first presented by Ostrach [2] who solved the non-linear coupled ordinary differential equations numerically on a computer. The fluid considered was air. Later on, many papers were published on this topic under different physical conditions and these are referenced in a book by Gebhart et al. [3]. The fluid considered in all these studies was either pure air or water. However, in nature, pure air or water is not easily available and hence the results already presented in Refs. 1 and 2 are not general in nature. As a simple example, atmospheric flows, at all scales, are driven appreciably by both temperature and H 2 O concentrated differences. In water, dissolved materials and suspended particulate matter are always present and hence the density is affected by both temperature and concentration. These are

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Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

Heat Transfer in a Casson Rheological Fluid from a Semi-infinite Vertical Plate with Partial Slip

Rao

Prasad²,

Reddy

et al. 2013

Heat Trans. Asian Res.

View full text Add to dashboard Cite

show abstract

“…The current study has been confined to steady-state flow i.e. ignored transient effects [50] and also neglected thermal radiation heat transfer effects [51,49]. These aspects are also of relevance to rheological food processing simulations and will be considered in future investigations.…”

Section: Discussionmentioning

confidence: 99%

Flow and Heat Transfer of Casson Fluid from a horizontal Circular Cylinder with Partial Slip in non-Darcy porous Medium

Prasad¹

2013

J Appl Computat Math

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In the Present study, the steady flow and heat transfer of Casson fluid from a permeable horizontal cylinder in the presence of slip condition in a non-Darcy porous medium is analyzed. The cylinder surface is maintained at a constant temperature. The boundary layer conservation equations, which are parabolic in nature, are normalized into non-similar form and then solved numerically with the well-tested, efficient, implicit, stable Keller-box finite-difference scheme. Increasing the velocity slip parameter is found to decrease the velocity and boundary layer thickness and increases the temperature and the boundary layer thickness. The velocity decreases with the increase the non-Darcy parameter and is found to increase the temperature. The velocity increases with the increase the Casson fluid parameter and is found to decrease the temperature. The Skin-friction coefficient and the local Nusselt number are found to decrease with the increase in velocity and thermal slip parameters respectively. Volume 2 • Issue 2 • 1000127 J Appl Computat Math ISSN: 2168-9679 JACM, an open access journal structural characteristics of many important liquids including polymer suspensions, liquid crystal melts, physiological fluids, contaminated lubricants, etc.The steady flow of non-Newtonian fluids in the presence of heat transfer is an important research area due to its wide use in food processing, power engineering, and petroleum production and in many industries for example polymers melt and polymer solutions employed in the plastic processing. Several fluids in chemical engineering, multiphase mixtures, pharmaceutical formulations, china clay and coal in water, paints, synthetic lubricants, salvia, synovial fluid, jams, soups, jellies, marmalades, sewage sludge etc are non-Newtonian. The constitutive relations for these kinds of fluids give rise to more complex and higher order equations than the Navier-Stokes equations. Considerable progress even through has been made on the topic by using different models of non-Newtonian fluids [2][3][4][5][6][7][8][9][10][11].

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“…To solve the time‐dependent mathematical flow model defined by Equations ()‐() along with initial and boundary conditions (13), the popular finite difference Crank‐Nicolson method is applied which is described in Rani et al It has been applied in the analysis of viscoelastic flows (Walters‐B liquids) by Mohiddin et al for transient double‐diffusive convection from a cone and Prasad et al for time‐dependent free convective flow from the plate. More recently, this method has been used in computing magnetic nanofluid flows from translating cylindrical bodies with periodic temperature variation and radiative‐convective nanofluid flow from a cylinder .…”

Section: Finite Difference Numerical Solutionmentioning

confidence: 99%

Computation of entropy generation in dissipative transient natural convective viscoelastic flow

Kumar

Reddy

Kiran³

et al. 2019

Heat Trans. Asian Res.

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Entropy generation is an important aspect of modern thermal polymer processing optimization. Many polymers exhibit strongly non-Newtonian effects and dissipation effects in thermal processing. Motivated by these aspects in this study, a numerical analysis of the entropy generation with viscous dissipation effect in an unsteady flow of viscoelastic fluid from a vertical cylinder is presented. The Reiner-Rivlin physical model of grade 2 (second-grade fluid) is used, which can envisage normal stress variations in polymeric flow-fields. Viscosity variation is included. The obtained governing equations are resolved using implicit finite difference method of Crank-Nicolson type with well imposed initial and boundary conditions. Key control parameters are the second-grade viscoelastic fluid parameter (β), viscosity variation parameter (γ), and viscous dissipation parameter (ε). Also, group parameter (BrΩ −1 ), Grashof number (Gr), and Prandtl number (Pr) are examined. Numerical solutions are presented for steady-state flow variables, temperature, time histories of friction, wall heat transfer rate, entropy, and Bejan curves for distinct values of control parameters.The results specify that entropy generation decreases with augmenting values of β, γ, and Gr. The converse trend is noticed with increasing Pr and BrΩ −1 . Furthermore, the computations reveal that entropy and Bejan lines only occur close to the hot cylinder wall.

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Unsteady free convection heat and mass transfer in a Walters-B viscoelastic flow past a semi-infinite vertical plate: A numerical study

Cited by 25 publications

References 35 publications

Heat Transfer in a Casson Rheological Fluid from a Semi-infinite Vertical Plate with Partial Slip

Heat Transfer in a Casson Rheological Fluid from a Semi-infinite Vertical Plate with Partial Slip

Flow and Heat Transfer of Casson Fluid from a horizontal Circular Cylinder with Partial Slip in non-Darcy porous Medium

Computation of entropy generation in dissipative transient natural convective viscoelastic flow

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