Blasius Flow and Heat Transfer of a Nanofluid Due to Flat Plate

Nandeppanavar, Mahantesh M.; Shakunthala, S.

doi:10.1166/jon.2016.1260

Cited by 23 publications

(12 citation statements)

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“…The hypothesis is that temperature modification is conveyed as a linear purpose in the fourth power of temperature. Mahabaleshwar et al [19][20][21][22] Nandeppanavar et al [23][24][25][26][27] existing Taylor's series extension of the duration ∞ T with the value T 4 as follows: (10)…”

Section: Mathematical Modelmentioning

confidence: 99%

Flow due to a porous stretching/shrinking sheet with thermal radiation and mass transpiration

2022

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This study investigates the behavior of carbon nanotubes (CNT) approaching an unsteady flow of a Newtonian fluid over a stagnation point on a stretching surface employing porous media. It flows when the liquid begins to move with the progression of time. Heat exchange with the environment has an impact on the flow. The implicitly limited component technique is used to solve the nondimensional partial differential equation with an associated boundary layer, which is an unstable system. Analytically, the solutions, as well as the required boundary conditions, are obtained. The effects of mass transpiration, volume fraction, and heat radiation on Newtonian fluid flow through porous media are explored. Single‐ and multi‐walled CNTs are used as well as water, as base fluids in the experiment. The impact of thermal radiation and heat source/sink is shown in the energy equation, which is solved under four different cases: uniform heat flux case, constant wall temperature case, general power‐law wall heat flux case, and general power‐law wall temperature case. By supplying distinct physical characteristics, a theoretical analysis of the existence and nonexistence of unique and dual solutions may be explored. These physical parameters determine the velocity distribution and temperature distribution. Prescribed surface temperature (PST) and prescribed wall heat flux (PHF) heat transfer solutions can be written using confluent hypergeometric equations, and generic power‐law PST and PHF situations can also be expressed using confluent hypergeometric equations. The graphical representations assist in the discussion of the current study's findings.

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Section: Mathematical Modelmentioning

confidence: 99%

Flow due to a porous stretching/shrinking sheet with thermal radiation and mass transpiration

2022

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“…We have considered steady, laminar, and incompressible two-dimensional flow hydro magnetic and heat transfer due to flat plate in a water-based nanofluids containing SWCNT and MWCNT. The primary governing equations of the considered problem are (for physical configurations, please refer Nandeppanavar and Shakunthala 35 )…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Here, we have referred the values of thermophysical standard properties of water, SWCNT, and MWCNT (refer Nandeppanavar and Shakunthala 35 for the table of thermophysical properties).…”

Section: Numerical Solutionmentioning

confidence: 99%

“…Sakiadis 33 is the first to investigate the boundary layer flow over a continuous solid surface moving with a constant speed. Nandeppanavar 34 and Nandeppanavar and Shakunthala 35 investigated the boundary layer flow and heat transfer of a nanofluid over a vertically stretching sheet with partial slip. Here, the author studied flow, heat, and mass transfers and used familiar methods like Runge–Kutta integration scheme and Newton–Raphson scheme, as well as solutions of various parameters like Brownian motion and thermophoretic discussed and demonstrated with graphical aid.…”

Section: Introductionmentioning

confidence: 99%

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Magneto-hydrodynamic Blasius flow and heat transfer from a flat plate in the presence of suspended carbon nanofluids

Nandeppanavar¹,

Gorla

Shakunthala³

2017

Proceedings of the Institution of Mechanical Engineers, Part N:

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In this article, we have discussed the effect of external magnetic field and other governing parameters on the flow and heat transfer in the presence of suspended carbon nanotubes over a flat plate. The governing equations of flow and heat transfer are derived from the Navier-Stokes and Prandtl boundary layer concept. The derived governing equations of flow and energy are non-linear partial differential equation, and these equations are converted into non-linear ordinary differential equations with corresponding boundary conditions using some suitable similarity transformations and are solved numerically using fourth-order Runge-Kutta method with efficient shooting technique. Effects of governing parameters on flow and heat transfer are shown through various graphs and explained with physical interpretation in detail. This study has applications in glass-fiber production and technology. On observing the results of this study, we can conclude that external magnetic field shows opposite behaviors on velocity and temperature and it enhances the rate of heat transfer.

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“…Further results of melting heat transfer flow were studied by many researchers (Epstein and Cho, 1976; Chamkha et al , 2011; Gorla et al , 2011; Prasannakumara et al , 2015). Results of MHD viscoelastic boundary layer flows over a stretching surface with non-uniform heat source/sink have been studied by many researchers (Abel et al , 2010; Nandeppanavar et al , 2013; Nandeppanavar and Siddalingappa, 2013; Abel and Nandeppanavar, 2007, 2008; Nandeppanavar et al , 2017; Nandeppanavar and Shakunthala, 2016; Das et al , 2016; Acharya et al , 2017; Tausif Sk et al , 2016; Das et al , 2018).…”

Section: Introductionmentioning

confidence: 99%

Effect of non-uniform heat source/sink on MHD boundary layer flow and melting heat transfer of Williamson nanofluid in porous medium

Konda

Reddy

Konijeti

et al. 2019

MMMS

111

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Purpose The purpose of this paper is to examine the influence of magnetic field on Williamson nanofluid embedded in a porous medium in the presence of non-uniform heat source/sink, chemical reaction and thermal radiation effects. Design/methodology/approach The governing physical problem is presented using the traditional Navier–Stokes theory. Consequential system of equations is transformed into a set of non-linear ordinary differential equations by means of scaling group of transformation, which are solved using the Runge–Kutta–Fehlberg method. Findings The working fluid is examined for several sundry parameters graphically and in a tabular form. It is noticed that with an increase in Eckert number, there is an increase in velocity and temperature along with a decrease in shear stress and heat transfer rate. Originality/value A good agreement of the present results has been observed by comparing with the existing literature results.

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Blasius Flow and Heat Transfer of a Nanofluid Due to Flat Plate

Cited by 23 publications

References 0 publications

Flow due to a porous stretching/shrinking sheet with thermal radiation and mass transpiration

Flow due to a porous stretching/shrinking sheet with thermal radiation and mass transpiration

Magneto-hydrodynamic Blasius flow and heat transfer from a flat plate in the presence of suspended carbon nanofluids

Effect of non-uniform heat source/sink on MHD boundary layer flow and melting heat transfer of Williamson nanofluid in porous medium

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