| Citation: |
Murugan Muthtamilselvan. STAGNATION POINT FLOW OF DUSTY CASSON FLUID WITH THERMAL RADIATION AND BUOYANCY EFFECTS[J]. Journal of Applied Analysis & Computation, 2019, 9(2): 615-627. doi: 10.11948/2156-907X.20180127
|
STAGNATION POINT FLOW OF DUSTY CASSON FLUID WITH THERMAL RADIATION AND BUOYANCY EFFECTS
-
Abstract
The aim of the study is to examine the stagnation point flow of a dusty Casson fluid over a stretching sheet with thermal radiation and buoyancy effects. The governing boundary layer equations are represented by a system of partial differential equation. After applying suitable similarity transformations, the resulting boundary layer equations are solved numerically using the Runge Kutta Fehlberg fourth-fifth order method (RKF-45 method). The behaviors of velocity, temperature and concentration profiles of fluid and dusty particles with respect to change in fluid particle interaction parameter, Casson paramter, Grashof number, radiation parameter, Prandtl number, number density, thermal equilibrium time, relaxation time, specific heat of fluid and dusty particles, ratio of diffusion coefficients, Schmidt number and Eckert number are analysed graphically and discussed. Our computed results interpret that velocity distribution decays for higher estimation of Casson parameter while temperature distribution shows increasing behavior for larger radiation parameter.-
Keywords:
- Casson fluid /
- dusty fluid /
- stagnation point /
- thermal radiation /
- buoyancy
-
-
References
[1] H. A. Attia, Unsteady MHD flow and heat transfer of dusty fluid between parallel plates with variable physical properties, Applied Mathematical Modelling, 26(2002), 863-875. doi: 10.1016/S0307-904X(02)00049-5 [2] A. Abdullah, A. Rashed, S. Siddiqa, N. Begum and Md. A. Hossain, Numerical solutions for a compressible dusty fluid flow along a vertical wavy cone, International Journal of Heat and Mass Transfer, 108(2017), 1229-1236. doi: 10.1016/j.ijheatmasstransfer.2016.12.105 [3] H. A. Attia, Unsteady MHD Couette flow and heat transfer of dusty fluid with variable physical properties, Applied Mathematics and Computation, 177(2006), 308-318. doi: 10.1016/j.amc.2005.11.010 [4] R. C. Bataller, Radiation effects in the blasius flow, Applied Mathematics and Computation, 198(2008), 333-338. doi: 10.1016/j.amc.2007.08.037 [5] D. H. Doh, M. Muthtamilselvan, E. Ramya and P. Revathi, Effects of thermal radiation on a 3D sisko fluid over a porous medium using Cattaneo-Christov heat flux model, Communications in Theoretical Physics, 70(2018), 230-238. doi: 10.1088/0253-6102/70/2/230 [6] T. Hayat, S. A. Shehzad, A. Alsaedi and M. S. Alhothuali, Mixed convection stagnation point flow of Casson fluid with convective boundary conditions, Chinese Physics Letters, 29(2012), 1147041-1147044. [7] Md. A. Hossain, N. C. Roy and S. Siddiqa, Unsteady mixed convection dusty fluid flow past a vertical wedge due to small fluctuation in free stream and surface temperature, Applied Mathematics and Computation, 293(2017), 480-492. doi: 10.1016/j.amc.2016.08.048 [8] T. Hayat, M. Ijaz Khan, M. Farooq, A. Alsaedi, M. Waqas and T. Yasmeen, Impact of Cattaneo-Christov heat flux model in flow of variable thermal conductivity fluid over a variable thicked surface, International Journal of Heat and Mass Transfer, 99(2016), 702-710. doi: 10.1016/j.ijheatmasstransfer.2016.04.016 [9] T. Hayat, M. Ijaz Khan, M. Farooq and A. Alsaedi, Stagnation point flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions, Journal of Molecular Liquids, 220(2016), 49-55. doi: 10.1016/j.molliq.2016.04.032 [10] T. Hayat, M. Ijaz Khan, M. Waqas, A. Alsaedi and M. Imran Khan, Radiative flow of micropolar nanofluid accounting thermophoresis and Brownian moment, International Journal of Hydrogen Energy, 42(2017), 16821-16833. doi: 10.1016/j.ijhydene.2017.05.006 [11] T. Hayat, S. Qayyum, M. Khan and A. Alsaedi, Entropy generation in magnetohydrodynamic radiative flow due to rotating disk in presence of viscous dissipation and Joule heating, Physics of Fluids, 30(2018), 017101. doi: 10.1063/1.5009611 [12] M. I. Khan, M. Waqas, T. Hayat and A. Alsaedi, A comparative study of Casson fluid with homogeneous-heterogeneous reactions, Journal of Colloid and Interface Science, 498(2017), 85-90. doi: 10.1016/j.jcis.2017.03.024 [13] M. I. Khan, T. Hayat, M. I. Khan and A. Alsaedi, A modified homogeneous-heterogeneous reactions for MHD stagnation point flow with viscous dissipation and joule heating, International Journal of Heat and Mass Transfer, 113(2017), 310-317. doi: 10.1016/j.ijheatmasstransfer.2017.05.082 [14] M. I. Khan, M. Waqas, T. Hayat and A. Alsaedi, Magnetohydrodynamic (MHD) stagnation point flow of Casson fluid over a stretched surface with homogeneous-heterogeneous reactions, Journal of Theoretical and Computational Chemistry, 16(2017), 175002201-175002213. [15] M. Ijaz Khan, M. Waqas, T. Hayat and A. Alsaedi, A comparative study of Casson fluid with homogeneous-heterogeneous reactions, Journal of Colloid and Interface Science, 498(2017), 85-90. doi: 10.1016/j.jcis.2017.03.024 [16] S. Mukhopadhyay, Casson fluid flow and heat transfer over a nonlinearly stretching surface, Chinese Physics B, 22(2013), 0747011-0747015. [17] T. R. Mahapatra and A. S. Gupta, Heat transfer in stagnation point flow towards a stretching sheet, Heat and Mass Transfer, 38(2002), 517-521. doi: 10.1007/s002310100215 [18] O. U. Mehmood, M. M. Maskeen and A. Zeeshan, Hydromagnetic transport of dust particles in gas flow over an inclined plane with thermal radiation, Results in Physics, 2017(2017), 1-16. [19] M. Muthtamilselvan and S. Sureshkumar, Convective heat transfer in a nanofluid-saturated porous cavity with the effects of various aspect ratios and thermal radiation, Physics and Chemistry of Liquids, 55(2018), 617-636. [20] G. K. Ramesh and B. J. Gireesha, Flow over a stretching sheet in a dusty fluid with radiation effect, Journal of Heat Transfer, 135(2013), 1027021-1027026. [21] G. K. Ramesh, B. J. Gireesha and C. S. Bagewadi, MHD flow of a dusty fluid near the stagnation point over a permeable stretching sheet with non-uniform source/sink, International Journal of Heat and Mass Transfer, 55(2012), 4900-4907. doi: 10.1016/j.ijheatmasstransfer.2012.05.003 [22] G. K. Ramesh, K. G. Kumar, S. A. Shehzad and B. J. Gireesha, Enhancement of radiation on hydromagnetic Casson fluid flow towards a stretched cylinder with suspension of liquid-particles, Canadian Journal of Physics, 96(2018), 18-24. [23] E. Ramya, M. Muthtamilselvan and D. H. Doh, Absorbing/emitting radiation and slanted hydromagnetic effects on micropolar liquid containing gyrostatic microorganisms, Applied Mathematics and Computation, 324(2018), 69-81. doi: 10.1016/j.amc.2017.12.001 [24] M. Tamoor, M. Waqas, M. I. Khan, A. Alsaedi and T. Hayat, Magnetohydrodynamic flow of Casson fluid over a stretching cylinder, Results in Physics, 7(2017), 498-502. doi: 10.1016/j.rinp.2017.01.005 [25] K. Vajravelu and J. Nayfeh, Hydromagnetic flow of a dusty fluid over a stretching sheet, International Journal of Non-Linear Mechanics, 27(1992), 937-945. doi: 10.1016/0020-7462(92)90046-A -
-
Figures(20)
Export File
Citation
Murugan Muthtamilselvan. STAGNATION POINT FLOW OF DUSTY CASSON FLUID WITH THERMAL RADIATION AND BUOYANCY EFFECTS[J]. Journal of Applied Analysis & Computation, 2019, 9(2): 615-627. doi: 10.11948/2156-907X.20180127
Format
Content
DownLoad:
- Figure 1. Schematic diagram of the stagnation point flow of dusty Casson fluid
- Figure 2. Comparison of velocity profile
- Figure 3. Effect of Casson parameter on velocity profile
- Figure 4. Effect of fluid particle interaction parameter on velocity profile
- Figure 5. Effect of thermal Grashof number on velocity profile
- Figure 6. Effect of thermal Grashof number on temperature profile
- Figure 7. Effect of thermal Grashof number on concentration profile
- Figure 8. Effect of solutal Grashof number on velocity profile
- Figure 9. Effect of solutal Grashof number on temperature profile
- Figure 10. Effect of solutal Grashof number on concentration profile
- Figure 11. Effect of radiation parameter on temperature profile
- Figure 12. Effect of Prandtl number on temperature profile
- Figure 13. Effect of number density parameter on temperature profile
- Figure 14. Effect of thermal equilibrium time on temperature profile
- Figure 15. Effect of relaxation time on temperature profile
- Figure 16. Effect of specific heat of fluid on temperature profile
- Figure 17. Effect of specific heat of dusty particles on temperature profile
- Figure 18. Effect of ratio of diffusion coefficients on concentration profile
- Figure 19. Effect of Schmidt number on concentration profile
- Figure 20. Effect of Eckert number on temperature profile