Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Heat Transfer Analysis of MHD Non-Newtonian Fluid over A Horizontal Circular Cylinder with Biot Number Effect


Affiliations
1 Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-517325, A.P., India
2 Department of Mathematics, JNTUA College of Engineering Pulivendula, Pulivendula-516390, A.P., India
     

   Subscribe/Renew Journal


In the proposed work deals with the heat transfer analysis of Magneto hydrodynamic third grade fluid flow over a horizontal circular cylinder with Biot-number effect. Using the Non – Similarity transformations, the governing partial differential equations are converted into ordinary differential equations and these equations are solved numerically by using an implicit finite difference Keller - Box method. The influence of emerging non-dimensional parameters, namely the third grade fluid parameter, the material fluid parameters, Magneto hydrodynamic parameter, Biot number effect and the Prandtl number, on velocities and temperatures are evaluated in the boundary layer regime in detail. Increasing the third grade fluid parameter and material fluid parameters are found to increase the velocity and opposite behavior is observed on temperature profiles. Increasing the Magneto hydrodynamic parameter is found to decreases the velocity and increases the temperature. An increasing the Biot number whereas the velocity and temperature are enhances and increasing the Prandtl number, the velocity and temperature profiles are in depresses .The study is relevant to chemical materials processing applications.

Keywords

Third Grade Fluid, Horizontal Circular Cylinder, Material Fluid Parameters, Magneto Hydro Dynamic and Biot Number.
Subscription Login to verify subscription
User
Notifications
Font Size


  • Jouyandeh M, Moheseni MM, Rashidi F. Forced Convection Heat transfer of Giesekus viscoelastic fluid in concentric annulus with both Cylinders rotation. Journal of Petroleum Science and Technology. 2014; 4(2): 1-9.
  • Anwar Beg O, Makinde OD, Viscoelastic flow and Species and Heat transfer in a Darcian high-permeability Channel. Journal of Petroleum Science and Engineering. 2011; 76: 93-99.
  • Subba Rao A, Ramachandra Prasad V, Nagendra N, Bhaskar N Reddy and Anwar Beg O. Non-Similar Computational Solution for Boundary Layer Flows of Non-Newtonian Fluid from an Inclined Plate with Thermal Slip. Journal of Applied Fluid Mechanics. 2016; 9(2): 795-807.
  • Abelman S, Momoniat E, Hayat T. Couette flow of a third grade fluid with rotating frame and slip condition. Nonlinear Analysis: Real World Applications. 2009; 10(2): 3329-3334.
  • Hayat T, Shafiq A, Alsaedi A. Effect of Joule heating and thermal radiation in flow ofthird grade fluid over radiative surface. Plos Online. 2014; 9:1-12.
  • Amanulla CH, Nagendra N, SuryanarayanaReddy M. Numerical Study of Thermal and Momentum Slip Effects on MHD Williamson Nanofluid from an Isothermal Sphere. Journal of Nanofluids. 2017; 6(6): 1111-1126.
  • Madhavi K, Nagendra N, Raju GSS, Ramachandra Prasad V. Non-Similarity Transformations of MHD flow of Third Grade Fluid over a Horizontal Circular Cylinder in the Presence of Radiation and Suction. International Journal of Innovative Research in Science, Engineering and Technology. 2017; 6(13): 73-79.
  • Hayat T, Shafiq A, Alsaedi A, Asghar S. Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity. AIP Advances. 2015; 5: 1-15.
  • Hayat T, Mustafa M, Asghar S. Unsteady flow with heat and mass transfer of a third grade fluid over a stretching surface in the presence of chemical reaction. Non-linear Analysis. Real world Applications. 2010; 11: 3186 – 3197.
  • Yurusoy M, Pakdemirli M. Approximate analytical solution for the flow of a third – grade fluid in a pipe. International Journal of Non-Linear Mechanics.2002; 37: 87-195.
  • Massoudi M, Christie I. Effects of variable viscosity and viscous dissipation on the flow of third grade fluid in a pipe. International Journal of Non-Linear Mechanics. 1995; 30: 687-699.
  • Anwar Beg O, Takhar HS, Bhargava R, Rawat S and V R Prasad. Numerical study of heat transfer of third grade viscoelastic fluid in non-Darcy porous media with thermo physical effects. phys. Scr. 2008; 77: 1-11.
  • Oluwole Daniel Makinde. Hermite-pade approximation approach to thermal criticality for a reactive third-grade liquid in a channel with isothermal walls. International Communication in Heat and mass Transfer. 2008; 34: 870-877.
  • Oluwole Daniel Makinde. Thermal stability of a reactive third grade fluid in a cylindrical pipe: An exploitation of Hermite-pade approximation technique. Applied Mathematics and Computation. 2007; 189: 690-697.
  • BikashSahoo. Hiemenz flow and heat transfer of a third grade fluid. Communications in Nonlinear Science and Simulation. 2009; 14: 811-826.
  • Hayat T, AnumShafiq, Alsaedi A, MHD axisymmetric flow of third grade fluid by stretching cylinder. Alexandria Engineering Journal. 2015; 54:205 – 212.
  • Zeeshan Khan, Rehan Ali Shah, Mohammad Altaf, Saeed Islam and Aurangze Khan. Effect of thermal radiation and MHD on nonNewtonian third grade fluid in wire coating analysis with temperature dependent viscosity. Alexandria Engineering Journal. 2017; (InPress):1-12.
  • Amanulla CH, Nagendra N, Suryanarayana Reddy M. Mhd flow and heat transfer in a williamson fluid from a vertical permeable cone with thermal and momentum slip effects: a mathematical study. Frontiers in Heat and Mass Transfer. 2017; 8(40): 1-11.
  • Amanulla CH, Nagendra N, Subba Rao A, Anwar Bég O and Kadir A. Thermal radiation and Biot number effects on hydromagnetic convection boundary layer flow of a Williamson non-Newtonian fluid. Heat Transfer-Asian Research. Accepted on 5 June 2017:1-20.
  • Keller HB. A new difference method for parabolic problems, J. Bramble (Editor), Numerical Methods for Partial Differential Equations, Academic Press New York. 1970.
  • Cebeci T, Bradshaw P. Physical and Computational Aspects of Convective Heat Transfer, Springer, New York. 1984.

Abstract Views: 139

PDF Views: 0




  • Heat Transfer Analysis of MHD Non-Newtonian Fluid over A Horizontal Circular Cylinder with Biot Number Effect

Abstract Views: 139  |  PDF Views: 0

Authors

K. Madhavi
Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-517325, A.P., India
N. Nagendra
Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-517325, A.P., India
G. S. S. Raju
Department of Mathematics, JNTUA College of Engineering Pulivendula, Pulivendula-516390, A.P., India
V. Ramachandra Prasad
Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-517325, A.P., India

Abstract


In the proposed work deals with the heat transfer analysis of Magneto hydrodynamic third grade fluid flow over a horizontal circular cylinder with Biot-number effect. Using the Non – Similarity transformations, the governing partial differential equations are converted into ordinary differential equations and these equations are solved numerically by using an implicit finite difference Keller - Box method. The influence of emerging non-dimensional parameters, namely the third grade fluid parameter, the material fluid parameters, Magneto hydrodynamic parameter, Biot number effect and the Prandtl number, on velocities and temperatures are evaluated in the boundary layer regime in detail. Increasing the third grade fluid parameter and material fluid parameters are found to increase the velocity and opposite behavior is observed on temperature profiles. Increasing the Magneto hydrodynamic parameter is found to decreases the velocity and increases the temperature. An increasing the Biot number whereas the velocity and temperature are enhances and increasing the Prandtl number, the velocity and temperature profiles are in depresses .The study is relevant to chemical materials processing applications.

Keywords


Third Grade Fluid, Horizontal Circular Cylinder, Material Fluid Parameters, Magneto Hydro Dynamic and Biot Number.

References