Effects of Electrification and Transverse Force on Dusty Flow over a Linear Stretching Sheet
DOI:
https://doi.org/10.37934/cfdl.16.2.151161Keywords:
Two Phase flow, Linear Stretching Sheet, Transverse force, ElectrificationAbstract
The numerical investigation of the flow and heat transfer of steady dusty flow over a linear stretching sheet has been carried out. The effects of Transverse force and electrification has been incorporated in this problem. Modelling of the problem comprises of highly nonlinear partial differential equations that have been transferred to systems of ordinary differential equations by implementing suitable transformations. Since the equations are of boundary value problems in nature, have been transferred to initial value problem by using shooting method and then solved by RungeKutta 4th order technique. All the above numerical methods incorporated in the BVP4C tool of MATLAB and has been solved the systems of differential equations by using MATLAB software. The effects of different parameter like Prandtl number, Eckert number, transverse force, and electrification parameter on flow and heat transfer profile has been presented through graphs and tables. The results have been validated with previous authors. From the graph it is observed that the transverse force reduces the velocity of the particle phase in the flow where as electrification of particles raises the temperature of particle phase in the flow. The computations carried out with tolerance of order less than O (10^(-6) ).
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Sakiadis, Byron C. "Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow." AIChE Journal 7, no. 1 (1961): 26-28. https://doi.org/10.1002/aic.690070108
Crane, Lawrence J. "Flow past a stretching plate." Zeitschrift für angewandteMathematik und Physik ZAMP 21, no. 4 (1970): 645-647. https://doi.org/10.1007/BF01587695
Rubinow, Sol I. and Joseph B. Keller. “The transverse force on a spinning sphere moving in a viscous fluid.” Journal of Fluid Mechanics 11 (1961): 447 - 459. https://doi.org/10.1017/S0022112061000640
Asmolov, E. S. "A transverse force acting on a spherical particle in a laminar boundary layer." Akademiia Nauk SSSR Izvestiia Mekhanika Zhidkosti i Gaza 25 (1989): 66-71. https://ui.adsabs.harvard.edu/abs/1989IzMZG..25...66A
Jain, A. C., and A. Ghosh. "Gas-particulate laminar boundary layer on a flat plate." Zeitschrift fur Flugwissenschaften und Weltraumforschung 3 (1979): 29-37. https://ui.adsabs.harvard.edu/abs/1979ZFlWe...3...29J
Marble, Frank E. "Dynamics of dusty gases." Annual Review of Fluid Mechanics 2, no. 1 (1970): 397-446. https://doi.org/10.1146/annurev.fl.02.010170.002145
Tripathy, P.K., Samantara, T., Mishra, J. and Panda, S., 2022, March. “Mixed convective radiative heat transfer in a particle-laden boundary layer fluid over an exponentially stretching permeable surface”. In AIP Conference Proceedings (Vol. 2435, No. 1). AIP Publishing .https://doi.org/10.1063/5.0083840
Das T.K, Sahoo Sukanta Kumar and Samantara T. N. " Radiation Effects on the Unsteady MHD Free Convection Flow Past in an Infinite Vertical Plate with Heat Source". International Journal of Mathematical and Computational Sciences (2020):Vol-14,Issue-6, 61-66.
Samantara, Tumbanath. "Velocity profile of fluid particle suspension over a horizontal plate with electrification of particles." International Journal of Innovative Technology and Exploring Engineering 8, no. 11: 1119-1122. https://doi.org/10.35940/ijitee.J1220.0981119
Samantara, Tumnanath, S. K. Mishra, and T. C. Panda. "Numerical Modeling of Two Phase Jet Flow and Heat Transfer with Charged Suspended Particulate Matter (SPM)." Modelling, Measurement and Control B 86: 885-906. https://doi.org/10.18280/mmc_b.860405
Mishra, Jayaprakash, and Tumbanath Samantara. "Study of Unsteady Two Phase Flow over An Inclined Permeable Stretching Sheet with Effects of Electrification and Radiation." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 97, no. 2 (2022): 26-38. https://doi.org/10.37934/arfmts.97.2.2638
Kanungo, Subhrajit, and Tumbanath Samantara. "Numerical Solution of Two-Phase Radiated Unsteady Flow Over a Horizontal Stretching Sheet with Simultaneous Effect of Electrification, Radiation and Non-Uniform Internal Heat Source/Sink." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 100, no. 3 (2022): 11-22. https://doi.org/10.37934/arfmts.100.3.1122
Mei, Renwei. "An approximate expression for the shear lift force on a spherical particle at finite Reynolds number." International Journal of Multiphase Flow 18, no. 1 (1992): 145-147. https://doi.org/10.1016/0301-9322(92)90012-6
Saffman, Philip Geoffrey. "The lift on a small sphere in a slow shear flow." Journal of fluid mechanics 22, no. 2 (1965): 385-400. https://doi.org/10.1017/S0022112065000824
Swain, K., S. Mohammed Ibrahim, G. Dharmaiah, and S. Noeiaghdam. "Numerical study of nanoparticles aggregation on radiative 3D flow of maxwell fluid over a permeable stretching surface with thermal radiation and heat source/sink." Results in Engineering (2023): 101208. https://doi.org/10.1016/j.rineng.2023.101208,
Turkyilmazoglu, M. "Bödewadt flow and heat transfer of dusty fluid with Navier slip." Archives of Mechanics 74 (2022).
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