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Analysis of Outer Velocity and Heat Transfer of Nanofluid Past a Stretching Cylinder with Heat Generation and Radiation

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Proceedings of International Conference on Trends in Computational and Cognitive Engineering

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1169))

Abstract

The intention of the present manuscript is to analyze the impact of Magnetohydrodynamic flow over a stretching cylinder with heat generation and radiation in the absence and presence of outer velocity. Similarity transformation is adopted to mold the mathematical equations into differential equations. Runga Kutta Fehlberg’s approach was adopted to numerically solve the molded equations by use of shooting method. The representative pattern studied the consequence of Brownian motion along with thermophoresis. The effect of prominent fluid parameters especially outer velocity, heat generation, heat radiation, partial slip, thermophoresis and Brownian motion on the concentration, temperature as well as velocity have been examined and are displayed through graphs and tables. In the present study, we use MATLAB code for finding the final outcomes and relating the concluding results with those of already published papers. The findings of present study help to control the rate of heat transportation as well as fluid velocity in many manufacturing processes and industrial applications to make the desired quality of final product.

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Abbreviations

x, y:

Cartesian coordinates

u :

Horizontal velocity

v :

Radial velocity

\(B_{0}\) :

Magnetic field intensity

U :

Stream velocity

\(\nu \) :

Kinematic velocity

\(\tau \) :

Ratio of heat capacities

\(\alpha \) :

Thermal diffusivity of fluid

\(u_{w}\) :

Stretching velocity

\(T_{w}\) :

Surface temperature

\(C_{w}\) :

Concentration at the surface

C :

Concenration

T :

Temperature

Nb :

Brownian motion parameter

r :

Radial axis

R :

Radius of cylinder

e :

Stretching parameter

Nt :

Thermophoresis parameter

\(N\mu \) :

Partial slip velocity

\(\sigma \) :

Slip velocity parameter

\(T_{\infty }\) :

Ambient temperature attained

Le :

Lewis number

\(D_{T}\) :

Thermophoresis diffusion coefficient

\(\xi \) :

Stream function

\(\psi \) :

Similarity variable

\(D_{B}\) :

Brownian diffusion coefficient

Pr :

Prandtl number

M :

Magnetic field parameter

\({f_{0}}^{'}(\xi )\) :

Velocity distribution

\(\theta _{0}(\xi )\) :

Temperature distribution

\(\phi _{0}(\xi )\) :

Concentration distribution

\(\lambda \) :

Outer velocity parameter

\(Sh_{x}\) :

Local Sheerwood number

\(\gamma \) :

Curvature parameter

\(Nu_{x}\) :

Local Nusselt number

Q :

Heat generation parameter

\(C_{\infty }\) :

Ambient nanoparticle volume fraction

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Authors and Affiliations

  1. Department of Mathematics, KLP College, Rewari, 123401, Haryana, India

    Vikas Poply &  Vinita

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  1. Vikas Poply
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  2. Vinita
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Correspondence to Vinita .

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Editors and Affiliations

  1. Central University of Haryana, Mahendergarh, India

    Phool Singh

  2. Central University of Haryana, Mahendergarh, India

    Rajesh Kumar Gupta

  3. Amity School of Applied Sciences, Amity School of Engineering and Technology (ASET), Jaipur, Rajasthan, India

    Kanad Ray

  4. Surface Characterization Group, National Institute for Materials Science (NIMS), Tsukuba, Ibaraki, Japan

    Anirban Bandyopadhyay

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Poply, V., Vinita (2021). Analysis of Outer Velocity and Heat Transfer of Nanofluid Past a Stretching Cylinder with Heat Generation and Radiation. In: Singh, P., Gupta, R.K., Ray, K., Bandyopadhyay, A. (eds) Proceedings of International Conference on Trends in Computational and Cognitive Engineering. Advances in Intelligent Systems and Computing, vol 1169. Springer, Singapore. https://doi.org/10.1007/978-981-15-5414-8_18

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