[ Log In | Register]
! Skip Navigation Links
Skip Navigation Links
Image of Discontinuity, Nonlinearity and Complexity
ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Effect of Variable Properties on the Flow Past a Needle Moving in a Casson Fluid

Discontinuity, Nonlinearity, and Complexity 14(3) (2025) 469--480 | DOI:10.5890/DNC.2025.09.002

D. Srinivasacharya, G. Saritha

Department of Mathematics, National Institute of Technology, Warangal - 506 004, Telangana, India

Download Full Text PDF

 

Abstract

This work considers the flow past a horizontally moving needle submerged in Casson fluid. The viscosity and thermal conductivity are assumed to be dependent on temperature. The flow-governing equations are changed into a set of non-linear ordinary differential equations using appropriate transforms. Applying successive linearization, the resulting equations are linearized, and then the Chebyshev spectral collocation technique is implemented. The effects of the Casson fluid parameter, needle size, and viscosity parameter on velocity and temperature, along with graphical representations of the coefficient of skin friction and local heat transfer rate, are presented graphically. It is observed that an enhancement in the viscosity parameter results in a decrease in the heat transfer rate and an increase in velocity. Temperature, velocity, and heat transfer rate all increase as the thermal conductivity parameter increases.

References

  1. [1]  Lee, L.L. (1967), Boundary layer over a thin needle, The Physics of Fluids, 10(4), 820-822.
  2. [2]  Narain, J.P. and Uberoi, M.S. (1972), Forced heat transfer over a thin needle, Journal of Heat Transfer Transactions of the ASME, 94, 240-242.
  3. [3]  Narain, J.P. and Uberoi, M.S. (1972), Free-convection heat transfer from a thin vertical needle, The Physics of Fluids, 15, 928–929.
  4. [4]  Narain, J.P. and Uberoi, M.S. (1973), Combined forced and free-convection over thin needles, International Journal of Heat and Mass Transfer, 16(8), 1505-1512.
  5. [5]  Ishak, A., Nazar, R., and Pop, I. (2007), Boundary layer flow over a continuously moving thin needle in a parallel free stream, Chinese Physics Letters, 24(10), 2895-2897
  6. [6]  Ahmad, S., Arifin, N.M., Nazar, R., and Pop, I. (2008), Mixed convection boundary layer flow along vertical moving thin needles with variable heat flux, Heat and Mass Transfer, 44, 473-479.
  7. [7]  Trimbitas, R., Grosan, T., and Pop, I. (2014), Mixed convection boundary layer flow along vertical thin needles in nanofluids, International Journal of Numerical Methods for Heat $\&$ Fluid Flow, 24(3), 579-594.
  8. [8]  Soid, S.K., Ishak, A., and Pop, I. (2017), Boundary layer flow past a continuously moving thin needle in a nanofluid, Applied Thermal Engineering, 114, 58-64.
  9. [9]  Qasim, M., Riaz, N., Lu, D., and Afridi, M.I. (2021), Flow over a needle moving in a stream of dissipative fluid having variable viscosity and thermal conductivity, Arabian Journal for Science and Engineering, 46, 7295-7302.
  10. [10]  Prashar, P., Ojjela, O., Kambhatla, P.K., and Das, S.K. (2022), Numerical investigation of boundary layer flow past a thin heated needle immersed in hybrid nanofluid, Indian Journal of Physics, 1-14.
  11. [11]  Nazar, T., Bhatti, M.M., and Michaelides, E.E. (2022), Hybrid (Au-TiO2) nanofluid flow over a thin needle with magnetic field and thermal radiation: dual solutions and stability analysis, Microfluidics and Nanofluidics, 26(1), 2.
  12. [12]  Casson, N. (1959), A flow equation for pigment-oil suspensions of the printing ink type, In: Rheology of Disperse Systems, Mill CC (Ed.) Pergamon Press, Oxford, 22, 84–102.
  13. [13]  Mahanta, G. and Shaw, S. (2015), 3D Casson fluid flow past a porous linearly stretching sheet with convective boundary condition, Alexandria Engineering Journal, 54(3), 653-659.
  14. [14]  Shaw, S., Mahanta, G., and ibanda, P. (2016), Non-linear thermal convection in a Casson fluid flow over a horizontal plate with convective boundary condition, Alexandria Engineering Journal, 55(2), 1295-1304.
  15. [15]  Mahanta, G., Das, M., and Shaw, S. (2017), Hydromagnetic heat and mass transfer flow of a Casson fluid over an unsteady stretching surface with convective boundary condition, Journal of Nanofluids, 6(2), 282-291.
  16. [16]  Souayeh, B., Reddy, M.G., Sreenivasulu, P., Poornima, T., Rahimi-Gorji, Md., and Alarifi, I.M. (2019), Comparative analysis on non-linear radiative heat transfer on MHD Casson nanofluid past a thin needle, Journal of Molecular Liquids, 284, 163–174.
  17. [17]  Ibrar, N., Reddy, M.G., Shehzad, S.A., Sreenivasulu, P., and Poornima, T. (2020), Interaction of single and multi walls carbon nanotubes in magnetized-nano Casson fluid over radiated horizontal needle, SN Applied Sciences, 2, 1-12.
  18. [18]  Akinshilo, A.T., Mabood, F., and Ilegbusi, A.O. (2021), Heat generation and nonlinear radiation effects on MHD Casson nanofluids over a thin needle embedded in porous medium, International Communications in Heat and Mass Transfer, 127, p.105547.
  19. [19]  Mohanty, D., Mahanta, G., and Shaw, S. (2023), Analysis of irreversibility for 3-D MHD convective Darcy–Forchheimer Casson hybrid nanofluid flow due to a rotating disk with Cattaneo–Christov heat flux, Joule heating, and nonlinear thermal radiation, Numerical Heat Transfer, Part B: Fundamentals, 84(2), 115-142.
  20. [20]  Kays, W.M. (2012), Convective heat and mass transfer, Tata McGraw-Hill Education.
  21. [21]  Herwig, H. and Wickern, G. (1986), The effect of variable properties on laminar boundary layer flow, Wärme-und Stoffübertragung, 20(1), 47-57.
  22. [22]  Animasaun, I.L., Adebile, E.A., and Fagbade, A.I. (2016), Casson fluid flow with variable thermo-physical property along exponentially stretching sheet with suction and exponentially decaying internal heat generation using the homotopy analysis method, Journal of the Nigerian Mathematical Society, 35(1), 1-17.
  23. [23]  Mondal, R.K., Gharami, P.P., Ahmmed, S.F. and Arifuzzaman, S.M. (2019), A simulation of Casson fluid flow with variable viscosity and thermal conductivity effects, Mathematical Modelling of Engineering Problems, 6(4), 625-633.
  24. [24]  Sivaraj, R., Benazir, A.J., Srinivas, S., and Chamkha, A.J. (2019), Investigation of cross-diffusion effects on Casson fluid flow in existence of variable fluid properties, The European Physical Journal Special Topics, 228, 35-53.
  25. [25]  Prasad, K.V., Vaidya, H., Rajashekhar, C., Khan, S.U., Manjunatha, G., and Viharika, J.U. (2020), Slip flow of MHD Casson fluid in an inclined channel with variable transport properties, Communications in Theoretical Physics, 72(9), p.095004.
  26. [26]  Govindaraj, N., Iyyappan, G., Singh, A.K., Shukla, P., and Roy, S.A. (2022), computational study on the MHD Casson fluid flow with thermal radiation and variable physical properties under the influence of Soret and Dufour effects, Heat Transfer, 51, 5857-5873.
  27. [27]  Motsa, S. and Shateyi, S. (2011), Successive linearisation solutiony of free convection non-darcy flow with heat and mass transfer, Advanced Topics in Mass Transfer, 19, 425-438.
  28. [28]  Canuto, C., Hussaini, M.Y., Quarteroni, A., and Zang, T.A. (1988), Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin.
  29. [29]  Chen, J.L.S. and Kubler, E.A. (1978), Non‐Newtonian flow along needles, The Physics of Fluids, 21(5), 749–751.

Copyright © 2011-2024 L & H Scientific Publishing. All rights reserved. Wildcard SSL Certificates