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Unsteady Casson MHD Flow Due to Shrinking Surface with Suction and Dissipation

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Advances in Fluid Dynamics

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

The present paper is on 2D Casson magnetohydrodynamic flow through exponentially shrinking surface. The set of nonlinear PDEs are established into ODEs by using R-K scheme connected by shooting methodology. Some of the physical quantities are implemented to demonstrate the effects of exponential, Eckert number, Casson and radiation parameters on temperature and velocity distributions. The constraint of Eckert numbers decelerates the rate of heat transfer in both \( \Pr = 2 \) and \( \Pr = 9 \) cases.

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Abbreviations

\( U \) :

Velocity constant

\( \sigma \) :

Electric conductivity

\( T \) :

Temperature of the fluid

\( B_{0} \) :

Magnetic field

\( c \) :

Positive constant

\( D_{m} \) :

Coefficient of the mass diffusivity

\( q_{r} \) :

Radiative heat flux

\( \rho C_{p} \) :

Heat capacitance of fluid

\( N \) :

Exponential parameter

\( \beta \) :

Casson fluid parameter

\( T_{\infty } \) :

Ambient fluid temperature

\( L \) :

Characteristic length

References

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Author information

Authors and Affiliations

  1. Department of BS&H, Sree Vidyanikethan Engineering College, (A), Rangampet, Tirupati, India

    P. Durga Prasad & K. Venkateswara Raju

  2. Department of Mathematics, SAS, VIT University, Vellore, 632014 , India

    R. Sivaraj

  3. Higher College of Technology, Muscat, Oman

    B. Madhusudhana Rao

  4. Department of Mathematics, GITAM University, Bangalore, India

    C. S. K. Raju

  5. Department of Mathematics, S.V. University, Tirupati, Andhra Pradesh, India

    S. V. K. Varma

Authors
  1. P. Durga Prasad
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  2. R. Sivaraj
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  3. B. Madhusudhana Rao
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  4. C. S. K. Raju
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  5. K. Venkateswara Raju
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  6. S. V. K. Varma
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Corresponding author

Correspondence to P. Durga Prasad .

Editor information

Editors and Affiliations

  1. Vellore Institute of Technology, Vellore, Tamil Nadu, India

    B. Rushi Kumar

  2. Vellore Institute of Technology, Vellore, Tamil Nadu, India

    R. Sivaraj

  3. University of Botswana, Gaborone, Botswana

    J. Prakash

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Durga Prasad, P., Sivaraj, R., Madhusudhana Rao, B., Raju, C.S.K., Venkateswara Raju, K., Varma, S.V.K. (2021). Unsteady Casson MHD Flow Due to Shrinking Surface with Suction and Dissipation. In: Rushi Kumar, B., Sivaraj, R., Prakash, J. (eds) Advances in Fluid Dynamics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-4308-1_43

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  • DOI: https://doi.org/10.1007/978-981-15-4308-1_43

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-4307-4

  • Online ISBN: 978-981-15-4308-1

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