A Model of Solar Radiation and Joule Heating in Flow of Third Grade Nanofluid

Hussain, Tariq; Hayat, Tasawar; Shehzad, Sabir Ali; Alsaedi, Ahmed; Chen, Bin

doi:10.1515/zna-2014-0267

Cited by 32 publications

(21 citation statements)

References 31 publications

(38 reference statements)

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“…Abbasi, Shehzad, Hayat, Alsaedi, and Obid (2015) presented an analysis to address the MHD two-dimensional boundary layer flow of Jeffrey nanofluid over a stretching sheet with thermal radiation. Hussain, Hayat, Shehzad, Alsaedi, and Chen (2015) examined the flow problem resulting from the stretching of a surface with convective conditions in a MHD third-grade nanofluid in the presence of thermal radiation. Hayat, Hussain, Shehzad, and Alsaedi (2015) investigated the Brownian motion and thermophoresis effects on two-dimensional boundary layer flow of an Oldroyd-B nanofluid in the presence of thermal radiation and heat generation.…”

Section: Introductionmentioning

confidence: 99%

Effect of viscous dissipation on hydromagnetic fluid flow and heat transfer of nanofluid over an exponentially stretching sheet with fluid-particle suspension

Krishnamurthy

Prasannakumara²,

Gireesha

et al. 2015

Cogent Mathematics

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This paper considers the problem of steady, boundary layer flow and heat transfer of a nanofluid with fluid-particle suspension over an exponentially stretching surface in the presence of transverse magnetic field and viscous dissipation. The stretching velocity and wall temperature are assumed to vary according to specific exponential form. The governing equations in partial forms are reduced to a system of coupled non-linear ordinary differential equations using suitable similarity transformations. An effective Runge-Kutta-Fehlberg (RKF-45) is used to solve the obtained differential equations with the help of a symbolic software MAPLE. The effects of flow parameters-such as nanofluid interaction parameter, magnetic parameter, solid volume fraction of nanoparticle parameter, Prandtl number and Eckert number-on the flow field and heat-transfer characteristics were obtained and are tabulated. Useful discussions were carried out with the help of plotted graphs and tables. Under the limiting cases, comparison with the existing results was made and found to be in good This paper considers the problem of steady, boundary layer flow and heat transfer of a nanofluid with fluid-particle suspension over an exponentially stretching surface in the presence of transverse magnetic field and viscous dissipation. The governing equations in partial forms are reduced to a system of coupled non-linear ordinary differential equations using suitable similarity transformations. The heat-transfer analysis is carried for two heating process, namely (1) prescribed exponential-order surface temperature and (2) prescribed exponential-order heat flux. Useful discussions were carried out with the help of plotted graphs. Under the limiting cases, comparison with the existing results was found to be in good agreement.agreement. The results demonstrate that the skin friction coefficient increases for both magnetic and solid volume fraction nanoparticle parameters. However, dusty fluid with copper (Cu) nanoparticles has the appreciable cooling performance than other fluids.

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Section: Introductionmentioning

confidence: 99%

Effect of viscous dissipation on hydromagnetic fluid flow and heat transfer of nanofluid over an exponentially stretching sheet with fluid-particle suspension

Krishnamurthy

Prasannakumara²,

Gireesha

et al. 2015

Cogent Mathematics

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“…No doubt there is a sizeable informations for flows of third grade fluids at present. Few representative studies in this direction can be seen by the attempts [1][2][3][4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Impact of temperature dependent heat source and non-linear radiative flow of third grade fluid with chemical aspects

et al. 2020

Self Cite

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This communication explores the MHD flow of third grade fluid bounded by a stretching surface with homogeneous-heterogeneous reactions. Incompressible fluid is electrically conducting in the presence of constant magnetic field. Heat transfer is performed through exponential based space internal heat source, non-linear thermal radiation and convective boundary condition. Non-linear differential systems are computed by homotopic technique. Intervals of convergence through numerical data and plots are explicitly determined. The dimensionless velocity, temperature, and concentration distributions manifesting the characteristics of various influential parameters are addressed. The skin friction coefficient and local Nusselt number are also addressed. Clearly temperature is enhanced by radiation, temperature ratio, and magnetic parameters.

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“…Rahman et al [6] inspected the mixed convective flow of a third-grade liquid close to a stagnation position from an exponentially stretching surface. Hussain et al [7] presented solar radiation model for the magnetic field along with third-grade nanoliquid from a convectively heated stretched surface. Naganthran et al [8] scrutinized the time-dependent flow of a special third-grade liquid through a porous stretched/shrinking surface.…”

Section: Introductionmentioning

confidence: 99%

Impact of Nonlinear Thermal Radiation on the Time-Dependent Flow of Non-Newtonian Nanoliquid over a Permeable Shrinking Surface

Zaib

Khan

et al. 2020

Symmetry

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Symmetry and fluid dynamics either advances the state-of-the-art of mathematical methods and extends the limitations of existing methodologies to new contributions in fluid. Physical scenario is modelled in terms of differential equations as mathematical models in fluid mechanics to address current challenges. In this work a physical problem to examine the unsteady flow of a third-grade non-Newtonian liquid induced through a permeable shrinking surface containing nanoliquid is considered. The model of Buongiorno is utilized comprising the thermophoresis and Brownian effects through nonlinear thermal radiation and convective condition. Based on the flow symmetry, suitable similarity transformations are employed to alter the partial differential equations into nonlinear ordinary differential equations and then these ordinary differential equations are numerically executed via three-stage Lobatto IIIa formula. The flow symmetry is discussed for interesting physical parameters and thus this work is concluded. More exactly, the impacts of pertinent constraints on the concentration, temperature and velocity profiles along together drag force, Sherwood and Nusselt numbers are explained through the aid of the tables and plots. The outcomes reveal that the dual nature of solutions is gained for a specific amount of suction and flow in the decelerating form A < 0 . However, the unique result is obtained for flow in accelerating form A ≥ 0 . In addition, the non-linear parameter declines the liquid velocity and augments the concentration and temperature fields in the first result, whereas the contrary behavior is scrutinized in the second result.

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A Model of Solar Radiation and Joule Heating in Flow of Third Grade Nanofluid

Cited by 32 publications

References 31 publications

Effect of viscous dissipation on hydromagnetic fluid flow and heat transfer of nanofluid over an exponentially stretching sheet with fluid-particle suspension

Effect of viscous dissipation on hydromagnetic fluid flow and heat transfer of nanofluid over an exponentially stretching sheet with fluid-particle suspension

Impact of temperature dependent heat source and non-linear radiative flow of third grade fluid with chemical aspects

Impact of Nonlinear Thermal Radiation on the Time-Dependent Flow of Non-Newtonian Nanoliquid over a Permeable Shrinking Surface

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