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Abstract

The effect of large injection rates on the steady laminar compressible boundary layer in the front stagnation-point region of a rotating sphere with a magnetic field has been studied. The effect of variable gas properties, non-unity Prandtl number and viscous dissipation are included in the analysis. The nonlinear coupled ordinary differential equations governing the flow are first linearized using the quasilinearization technique, and the resulting system of linear equations are then solved using an implicit finite-difference scheme with non-uniform step size. For large injection rates, analytical expressions for the surface shear stresses in the longitudinal and rotating directions and the surface heat transfer are also obtained using an approximate method. For large injection rates, the surface heat transfer tends to zero, but the surface shear stresses in the longitudinal and rotating directions remain finite but small. The surface shear stresses and the surface heat transfer decrease with increasing rate of injection, but they increase with the magnetic field and the rotation parameter. The magnetic field or the rotation parameter induces an overshoot in the longitudinal velocity profile and the magnitude of the velocity overshoot increases significantly with the rotation parameters and the injection parameter. The location of the dividing streamline moves away from the boundary with increasing injection rate, but it moves towards the boundary with increasing magnetic and rotation parameters.
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Authors and Affiliations

Mahesh Kumari
Girishwar Nath
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Abstract

The aim of present work is to investigate the mass transfer of steady incompressible hydromagnetic fluid near the stagnation point with deferment of dust particles over a stretching surface. Most researchers tried to improve the mass transfer by inclusion of cross-diffusion or dust particles due to their vast applications in industrial processes, extrusion process, chemical processing, manufacturing of various types of liquid drinks and in various engineering treatments. To encourage the mass transport phenomena in this study we incorporated dust with microorganisms. Conservation of mass, momentum, concentration and density of microorganisms are used in relevant flow equations. The arising system of nonlinear partial differential equations is transformed into nonlinear ordinary differential equations. The numerical solutions are obtained by the Runge-Kutta based shooting technique and the local Sherwood number is computed for various values of the physical governing parameters (Lewis number, Peclet number, Eckert number). An important finding of present work is that larger values of these parameters encourage the mass transfer rate, and the motile organisms density profiles are augmented with the larger values of fluid particle interaction parameter with reference to bioconvection, bioconvection Lewis number, and dust particle concentration parameter.

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Authors and Affiliations

S.U. Mamatha
K. Ramesh Babu
P. Durga Prasad
C.S.K. Raju
S.V.K. Varma
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Abstract

In this present work, the laminar free convection boundary layer flow of a two-dimensional fluid over the vertical flat plate with a uniform surface temperature has been numerically investigated in detail by the similarity solution method. The velocity and temperature profiles were considered similar to all values and their variations are as a function of distance from the leading edge measured along with the plate. By taking into account this thermal boundary condition, the system of governing partial differential equations is reduced to a system of non-linear ordinary differential equations. The latter was solved numerically using the Runge-Kutta method of the fourth-order, the solution of which was obtained by using the FORTRAN code on a computer. The numerical analysis resulting from this simulation allows us to derive some prescribed values of various material parameters involved in the problem to which several important results were discussed in depth such as velocity, temperature, and rate of heat transfer. The definitive comparison between the two numerical models showed us an excellent agreement concerning the order of precision of the simulation. Finally, we compared our numerical results with a certain model already treated, which is in the specialized literature.
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Authors and Affiliations

Ali Belhocine
1
ORCID: ORCID
Nadica Stojanovic
2
Oday Ibraheem Abdullah
3

  1. Department of Mechanical Engineering, University of Sciences and the Technology of Oran, Algeria
  2. University of Kragujevac, Faculty of Engineering, Department for Motor Vehicles and Motors, Serbia
  3. System Technologies and Mechanical Design Methodology, Hamburg University of Technology, Hamburg, Germany

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