Modeling and theoretical investigation on Casson nanofluid flow over a curved stretching surface with the influence of magnetic field and chemical reaction

Kumar, R. S. Varun; Dhananjaya, Prasanna Gunderi; Kumar, R. Naveen; Gowda, R. J. Punith; Prasannakumara, B. C.

doi:10.1080/15502287.2021.1900451

Cited by 126 publications

(28 citation statements)

References 25 publications

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“…It is very important to choose the appropriate integrator, as this decides the accurateness of the shooting process. The system of Equations ( 10), ( 12), ( 13) and (15) with the boundary constraints (11), (14), and ( 16) have been numerically solved by applying the Runge-Kutta integration scheme together with the shooting iteration procedure. Thus, Equations ( 10)-( 16) are transformed into a system of first-order differential equations.…”

Section: Numerical Proceduresmentioning

confidence: 99%

See 1 more Smart Citation

Heat and Mass Transfer Analysis in Chemically Reacting Flow of Non-Newtonian Liquid with Local Thermal Non-Equilibrium Conditions: A Comparative Study

Alhadhrami

Prasanna²,

Prasad³

et al. 2021

Energies

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In the current paper, we endeavour to execute a numerical analysis in connection with the boundary layer flow induced in a non-Newtonian liquid by a stretching sheet with heat and mass transfer. The effects of chemical reactions and local thermal non-equilibrium (LTNE) conditions are considered in the modelling. The LTNE model is based on energy equations, and provides unique heat transfer for both liquid phases. As a result, different temperature profiles for both the fluid and solid phases are used in this work. The model equation system is reduced by means of appropriate similarity transformations, which are then numerically solved by employing the classical Runge–Kutta (RK) scheme along with the shooting method. The resultant findings are graphed to show the effects of various physical factors on the involved distributions. Outcomes reveal that Jeffrey fluid shows improved velocity for lower values of porosity when compared to Oldroyd-B fluid. However, for higher values of porosity, the velocity of the Jeffery fluid declines faster than that of the Oldroyd-B fluid. Jeffery liquid shows improved fluid phase mass transfer, and decays more slowly than Oldroyd-B liquid for higher values of chemical reaction rate parameter.

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Section: Numerical Proceduresmentioning

confidence: 99%

“…Gowda et al [13] modelled and discussed a chemically reactive flow of second-grade nanoliquid using Marangoni convection. Kumar et al [14] exemplified the chemically reactive flow of Casson nanoliquid. Gowda et al [15] elucidated the magnetic dipole impact on nanofluid flow over a stretching surface with chemical reaction.…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer Analysis in Chemically Reacting Flow of Non-Newtonian Liquid with Local Thermal Non-Equilibrium Conditions: A Comparative Study

Alhadhrami

Prasanna²,

Prasad³

et al. 2021

Energies

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“…Khan et al 4 explicated the nanoliquid flow originated by a CSS when Lorentz force, suction, and thermal radiation are significant. Varun Kumar et al 5 typified the Casson nanoliquid flow on a CSS with partial slip. Punith Gowda et al 6 quizzed the flow of second‐grade liquid on a CSS by considering Soret–Dufour's effects.…”

Section: Introductionmentioning

confidence: 99%

Cattaneo–Christov heat flux model for nanofluid flow over a curved stretching sheet: An application of Stefan blowing

et al. 2022

Self Cite

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The present work investigates the thermophoresis and Brownian motion effects in nanofluid flow over a curved stretching sheet (CSS). Also, the Cattaneo–Christov heat flux and Stefan blowing (SB) conditions are considered for studying heat and mass transport characteristics. The present work's novelty is associated with considerations of convective boundary and SB conditions in nanomaterial flow over a CSS. The coupled partial differential equations are changed to ordinary differential equations by employing suitable similarity variables, and the resultant model is numerically handled using Runge–Kutta–Fehlberg's fourth fifth‐order method with the shooting scheme. The stimulation of the involved parameters/numbers on the flow, mass, and heat fields is broadly deliberated using suitable graphs. The present analysis's significant relevant outcomes are that the inclination in thermophoresis and Brownian motion parameters increases the heat transfer. The inclined values of the Brownian motion parameter decay the mass transfer. Furthermore, the increased values of both Schmidt number and SB parameter drop the mass transport. The increased values of the Brownian motion parameter and Schmidt number decays the rate of mass transference.

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“…The tangent hyperbolic method produces shear rate results, i.e., viscosity decreased as shear rate increased. Kumar et al 1 examined the effect of a magnetic field on Casson nano liquid movement over a curved stretching/shrinking sheet with chemical reaction. Khan et al 2 probed the generation of entropy in Darcy–Forchheimer hybrid nanofluid flow over a stretchable surface using Marangoni convection.…”

Section: Introductionmentioning

confidence: 99%

Significance of concentration-dependent viscosity on the dynamics of tangent hyperbolic nanofluid subject to motile microorganisms over a non-linear stretching surface

Siddique

Abdal

Din

et al. 2022

Sci Rep

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The communication describes a theoretical framework for tangent hyperbolic fluid of nano-biofilm due to an extending or shrinking sheet that comprises a stagnation point flow, chemical reaction with activation energy, and bioconvection of gyrotactic microorganisms. The varying transport features due to dynamic viscosity, thermal conductivity, nano-particle mass permeability and microbe organisms diffusivity are taken into account for the novelty of this work. The inspiration is developed to enhance heat transfer. A set of leading partial differential equations is formed along with appropriate boundary constraints. Using similarity transformations, the basic formulation is transitioned into non-linear differential equations. To produce observational data, the shooting technique and Runge-Kutta fourth order method are employed. The coding of numerical scheme is developed in Matlab script. The visual representation of the effects of diverse fluid transport properties and distinctive parameters on speed, temperature, concentration and motile density are evaluated. The velocity become faster when the parameters $$\omega $$ ω , $$\lambda $$ λ , $$\epsilon $$ ϵ and $$V_0$$ V 0 are enhanced. Brownian motion, thermal conductivity, heat generation as well as thermophoresis factors all strengthen the temperature distribution, however the nano-particle concentration profile is enhanced as the nano-particle mass conductivity variable, activation energy as well as the thermophoresis variable are boosted. The microorganism density improves significantly when the microorganism diffusivity factor increases. The skin friction, Sherwood number, Nusselt number and motile density number decline against the incremented transport parameters.

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Modeling and theoretical investigation on Casson nanofluid flow over a curved stretching surface with the influence of magnetic field and chemical reaction

Cited by 126 publications

References 25 publications

Heat and Mass Transfer Analysis in Chemically Reacting Flow of Non-Newtonian Liquid with Local Thermal Non-Equilibrium Conditions: A Comparative Study

Heat and Mass Transfer Analysis in Chemically Reacting Flow of Non-Newtonian Liquid with Local Thermal Non-Equilibrium Conditions: A Comparative Study

Cattaneo–Christov heat flux model for nanofluid flow over a curved stretching sheet: An application of Stefan blowing

Significance of concentration-dependent viscosity on the dynamics of tangent hyperbolic nanofluid subject to motile microorganisms over a non-linear stretching surface

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