Natural Convective Heat Transfer Flow of a Non-Newtonian Second-Grade Fluid Past an Isothermal Sphere

Bhuvanavijaya, R.; Prasad, V. Ramachandra; Mallikarjuna, B.; Bég, O. Anwar

doi:10.1615/computthermalscien.2014011263

Cited by 4 publications

(4 citation statements)

References 4 publications

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“…The Keller-Box technique is very popular and has been employed by many researchers that include Subba Rao et al [31] for polymer flows from a horizontal cylinder, V.R. Prasad et al [32] for micpolar flows, Beg et al [33] for multi-physical magnetohydrodynamic flows, Bhuvanavijaya et al [34] for second-grade flows, Abdul gaffar et al [35] for third-grade model, Vasu et al [36],…”

Section: Computational Finite Differences Keller-box Solutions Discusmentioning

confidence: 99%

Effects of ramped wall temperature and concentration on viscoelastic Jeffrey’s fluid flows from a vertical permeable cone

Gaffar¹,

Prasad

Bég

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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In thermo-fluid dynamics, free convection flows external to different geometries such as cylinders, ellipses, spheres, curved walls, wavy plates, cones etc. play major role in various industrial and process engineering systems. The thermal buoyancy force associated with natural convection flows can exert a critical role in determining skin friction and heat transfer rates at the boundary. In thermal engineering, natural convection flows from cones has gained exceptional interest. A theoretical analysis is developed to investigate the nonlinear, steady-state, laminar, non-isothermal convection boundary layer flows of viscoelastic fluid from a vertical permeable cone with a power-law variation in both temperature and concentration. The Jeffery's viscoelastic model simulates the non-Newtonian characteristics of polymers, which constitutes the novelty of the present work. The transformed conservation equations for linear momentum, energy and concentration are solved numerically under physically viable boundary conditions using the finitedifferences Keller-Box scheme. The impact of Deborah number (De), ratio of relaxation to retardation time (), surface suction/injection parameter (fw), power-law exponent (n), buoyancy ratio parameter (N) and dimensionless tangential coordinate () on velocity, surface temperature, concentration, local skin friction, heat transfer rate and mass transfer rate in the boundary layer regime are presented graphically. It is observed that increasing values of De reduces velocity whereas the temperature and concentration are increased slightly. Increasing  enhance velocity however reduces temperature and concentration slightly. The heat and mass transfer rate are found to decrease with increasing De and increase with increasing values of . The skin friction is found to decrease with a rise in De whereas it is elevated with increasing values of . Increasing values of fw and n, decelerates the flow and also cools the boundary layer i.e. reduces temperature and also concentration. The study is relevant to chemical engineering systems, solvent and polymeric processes.

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Section: Computational Finite Differences Keller-box Solutions Discusmentioning

confidence: 99%

Effects of ramped wall temperature and concentration on viscoelastic Jeffrey’s fluid flows from a vertical permeable cone

Gaffar¹,

Prasad

Bég

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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“…The main ability of this implicit scheme is to solve systems of differential equations of any order as well as featuring second-order accuracy and attractive extrapolation features. For the implicit finite difference method with Keller box scheme one can refer to Cebeci and Bradshaw (1984) and Bhuvanavijaya et al (2014). We first converted the partial differential equations (15) and (16) into a system of first order differential equations.…”

Section: Numerical Methods Of Solutionmentioning

confidence: 99%

Natural convection on heat transfer flow of non-newtonian second grade fluid over horizontal circular cylinder with thermal radiation

Prasad¹,

Bhuvanavijaya

Bandaru³

2016

J. nav. arch. mar. engg.

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“…Studies considering temperature dependent thermal conductivity can be mentioned through Refs. [16][17] and temperature dependent thermal conductivity model used in Refs. [16][17] is given by…”

Section: Technical Description and Non-newtonian Rheologymentioning

confidence: 99%

“…For example, Salahuddin [16] performed numerical study to analyse the effect of variable thermal conductivity on heat transfer in the flow non Newtonian fluid using Keller Box method. Bhuvanavijaya and Malikarjuna [17] studied the effects of variable thermal conductivity on heat and mass transfer in the fluid flow in a rotating system.…”

Section: Introductionmentioning

confidence: 99%

Galerkin Finite Element Study on the Effects of Variable Thermal Conductivity and Variable Mass Diffusion Conductance on Heat and Mass Transfer

Qureshi¹,

Nawaz²,

Rana³

et al. 2018

Commun. Theor. Phys.

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This article investigates the effects of variable thermal conductivity and variable mass diffusion coefficienton the transport of heat and mass in the flow of Casson fluid. Numerical simulations for two-dimensional flow induced by stretching surface are performed by using Galerkin finite element method (GFEM) with linear shape functions. After assembly process, nonlinear algebraic equations are linearized through Picard method and resulting linear system is solved iteratively using Gauss Seidal method with simulation tolerance 10 −8 . Maximum value of independent variable η is searched through numerical experiments. Grid independent study was carried out and error analysis is performed. Simulated results are validated by comparing with already published results. Parametric study is carried out to explore the physics of the flow. The concentration increases when mass diffusion coefficient is increased. The concentration and thermal boundary layer thicknesses increase when ϵ1 and ϵ are increased. The effect of generative chemical reaction on concentration is opposite to the effect of destructive chemical reaction on the concentration.

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Natural Convective Heat Transfer Flow of a Non-Newtonian Second-Grade Fluid Past an Isothermal Sphere

Cited by 4 publications

References 4 publications

Effects of ramped wall temperature and concentration on viscoelastic Jeffrey’s fluid flows from a vertical permeable cone

Effects of ramped wall temperature and concentration on viscoelastic Jeffrey’s fluid flows from a vertical permeable cone

Natural convection on heat transfer flow of non-newtonian second grade fluid over horizontal circular cylinder with thermal radiation

Galerkin Finite Element Study on the Effects of Variable Thermal Conductivity and Variable Mass Diffusion Conductance on Heat and Mass Transfer

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