Thermal-diffusion and diffusion-thermo effects on squeezing flow of unsteady magneto-hydrodynamic Casson fluid between two parallel plates with thermal radiation

Naduvinamani, N. B.; Shankar, Usha

doi:10.1007/s12046-019-1154-5

Cited by 33 publications

(36 citation statements)

References 37 publications

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“…(15). Hence, the present problem is solved with the help of e cient RK-4 technique [51][52][53][54][55][56]. Further, the considered numerical scheme begun by converting the higher order ordinary di erential Eqs.…”

Section: Solution Methodologymentioning

confidence: 99%

Effect of magnetized variable thermal conductivity on flow and heat transfer characteristics of unsteady Williamson fluid

Shankar

Naduvinamani

Basha

2020

Nonlinear Engineering

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A two-dimensional mathematical model of magnetized unsteady incompressible Williamson fluid flow over a sensor surface with variable thermal conductivity and exterior squeezing with viscous dissipation effect is investigated, numerically. Present flow model is developed based on the considered flow geometry. Effect of Lorentz forces on flow behaviour is described in terms of magnetic field and which is accounted in momentum equation. Influence of variable thermal conductivity on heat transfer is considered in the energy equation. Present investigated problem gives the highly complicated nonlinear, unsteady governing flow equations and which are coupled in nature. Owing to the failure of analytical/direct techniques, the considered physical problem is solved by using Runge-Kutta scheme (RK-4) via similarity transformations approach. Graphs and tables are presented to describe the physical behaviour of various control parameters on flow phenomenon. Temperature boundary layer thickens for the amplifying value of Weissenberg parameter and permeable velocity parameter. Velocity profile decreased for the increasing squeezed flow index and permeable velocity parameter. Increasing magnetic number increases the velocity profile. Magnifying squeezed flow index magnifies the magnitude of Nusselt number. Also, RK-4 efficiently solves the highly complicated nonlinear complex equations that are arising in the fluid flow problems. The present results in this article are significantly matching with the published results in the literature.

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Section: Solution Methodologymentioning

confidence: 99%

Effect of magnetized variable thermal conductivity on flow and heat transfer characteristics of unsteady Williamson fluid

Shankar

Naduvinamani

Basha

2020

Nonlinear Engineering

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“…Thus, to solve this system of PDE's, we first transformed the system of coupled PDE's to a set of simplified nonlinear ordinary differential equations (ODEs) with the help of the appropriate similarity transformations. Finally, the reduced first order ODEs are solved by using Runge‐Kutta fourth order integration scheme with shooting technique (RK‐SM) 31‐34,42‐51 and the bvp4c matlab function 31‐34,52 . Thus, to achieve the above‐mentioned purpose, the following similarity transformations 9‐14 are suitably used.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Clearly, it is observed that the governing Equations (21) to (23) with conditions Equations (24) to (26) are not amenable to analytical schemes. Hence, in the present paper, an attempt has been made to overcome this difficulty by using RK‐SM 31‐34,42‐51 and bvp4c techniques 31‐34,52 . Thus, before applying the RK‐SM technique, the nonlinear coupled ODE's Equations (21) to (23) are decomposed into a system of first order ODE's and the reduced equations are as follows.…”

Section: Numerical Proceduresmentioning

confidence: 99%

“…Their study shows that the Nusselt number enhanced with heat source/sink parameter. Also, Naduvinamani and Usha 32,33 recently analyzed the flow and heat transfer characteristics of the squeezed flow of a Casson fluid with various effects between two parallel plates by using Runge‐Kutta method and bvp4c scheme. It is recorded from their investigation that amplifying magnetic number decreases the velocity profile and the opposite trend is noticed for the thermal profile in the flow regime.…”

Section: Introductionmentioning

confidence: 99%

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A generalized perspective of magnetized radiative squeezed flow of viscous fluid between two parallel disks with suction and blowing

Basha

2020

Heat Trans

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In this research article, the electrically conducting magnetized radiative squeezed flow of two-dimensional time-dependent viscous incompressible flow between two parallel disks with heat source/sink and Joule heating effects under the presence of an unsteady homogeneous first order chemical reaction is demonstrated numerically. The considered physical problem is studied under the influence of Lorentz forces to describe the effect of an applied magnetic field. Heat dissipation due to viscosity and Joule heating are considered in the energy equation to demonstrate the behavior of the thermal profile. Also, the thermodynamic behavior of temperature field is described by considering the concept of heat source/sink in the energy equation. The mass transport characteristics of a viscous fluid are described through the time-dependent chemical reaction of first order type with homogenous behavior. Thus, the considered physical problem gives the time-dependent, highly nonlinear coupled partial differential equations, which are reduced to a system of ordinary differential equations by invoking the suitable similarity transformations. The discretized first order ordinary differential equations are solved by using the Runge-Kutta fourth order integration scheme with the

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“…However, once the convergence criteria is reached, the system of ODEs are integrated by using the standard Runge‐Kutta fourth order integration scheme to obtain the desired results. More details can be found in the literature …”

Section: Numerical Solution Proceduresmentioning

confidence: 99%

Magnetized impacts of Brownian motion and thermophoresis on unsteady squeezing flow of nanofluid between two parallel plates with chemical reaction and Joule heating

Shankar

Naduvinamani

2019

Heat Trans. Asian Res.

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Present research article investigate the heat and mass transfer characteristics of unsteady magnetohydrodynamic Casson nanofluid flow between two parallel plates under the influence of viscous dissipation and first order homogeneous chemical reaction effects. The impacts of thermophoresis and Brownian motion are accounted in the nanofluid model to disclose the salient features of heat and mass transport phenomena. The present physical problem is examined under the presence of Lorentz forces to investigate the effects of magnetic field. Further, the viscous and Joule dissipation effects are considered to describe the heat transfer process. The non-Newtonian behaviour of Casson nanofluid is distinguished from those of Newtonian fluids by considering the well-established rheological Casson fluid model. The twodimensional partial differential equations governing the unsteady squeezing flow of Casson nanofluid are coupled and highly nonlinear in nature. Thus, similarity transformations are imposed on the conservation laws to obtain the nonlinear ordinary differential equations. Runge-Kutta fourth order integration scheme with shooting method and bvp4c techniques have been used to solve the resulting nonlinear flow equations. Numerical results have been obtained and presented in the form of graphs and tables for various values of physical parameters.It is noticed from present investigation that, the concentration field is a decreasing function of thermophoresis parameter. Also, concentration profile enhances with raising Brownian motion parameter. Further, the present numerical results are compared with the analytical and semianalytical results and found to be in good agreement.Brownian motion, Casson nanofluid, Joule dissipation, magnetic field, squeezing flow, thermophoresis | INTRODUCTIONIn the present days, nanofluids are widely used in most of the industries, technologies, and scientific applications. For an instance, biological solutions, asphalts and glues, melts of polymers and paints, and so forth. Nanofluids are potentially suitable candidates for increasing the heat transfer rate in wide variety of applications. In many of the numerical investigations, nanofluids are treated as common pure fluids. Additionally, nanofluids are considerably used in the squeezing flows for enhancing the heat transfer characteristics. However, the unsteady heat and mass transfer process in squeezing flow of magnetohydrodynamic (MHD) viscous incompressible fluid flow between two parallel plates is one of the most important research area in the present days. Since, squeezing flows have plenty of engineering, scientific, and technological applications in most of the thermodynamic industries. For example, lubrication systems, moving pistons, hydrodynamical machines, hydraulic lifts, dispersion and formation, compression and injection, electric motors, cooling towers, reactor fluidization, polymer processing, processing of chemical equipment's, processing of food, crops damage due to freezing, transmission squeezed film and syringes ...

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Thermal-diffusion and diffusion-thermo effects on squeezing flow of unsteady magneto-hydrodynamic Casson fluid between two parallel plates with thermal radiation

Cited by 33 publications

References 37 publications

Effect of magnetized variable thermal conductivity on flow and heat transfer characteristics of unsteady Williamson fluid

Effect of magnetized variable thermal conductivity on flow and heat transfer characteristics of unsteady Williamson fluid

A generalized perspective of magnetized radiative squeezed flow of viscous fluid between two parallel disks with suction and blowing

Magnetized impacts of Brownian motion and thermophoresis on unsteady squeezing flow of nanofluid between two parallel plates with chemical reaction and Joule heating

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