3^rd International Conference on Fluid Dynamics & Aerodynamics October 25-26, 2018 Berlin, Germany

Prashanta Kumar Mandal completed his MSc in the year 2013 and MPhil in the year 2014 from Indian School of Mines, Dhanbad, India. He is a Senior Research Fellow in the Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India. He joined the department to do research work leading to PhD degree in the year 2014.

In this article, the effect of mixed convection on hydromagnetic non-aligned stagnation point flow of Casson fluid over a convectively heated stretching sheet has been examined. Effects of thermal radiation and partial slip are also taken into account. Using appropriate similarity transformations, the governing partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and solved numerically by shooting method along with Runge-Kutta-Fehlberg integration technique. The profiles of fluid velocity and temperature are plotted and analysed corresponding to various pertinent flow parameters such as magnetic parameter, stagnation parameter, mixed convection parameter, velocity slip parameter, radiation parameter, Biot number etc. Also, the skin friction and rate of heat transfer at the surface are computed and explained in detail. For positive and negative obliqueness, stream line patterns are also plotted. It is observed that the normal velocity increases with the rise of stagnation parameter whereas tangential velocity diminishes when mixed convection parameter is intensified. Also, the impact of stagnation parameter on fluid temperature is opposite to that of velocity slip parameter.

Sacia Kachi completed her Master 2 Diploma in 2011 from Kasdi Merbah University- Ouargla, under a final project titled: Studies of techniques for improving distillation by solar energy in Renewable Energy Laboratory of the Faculty of Science and Technology in the same university. She registered in her PhD in Chemical Engineering in November in the same year in Salah Boubnider- Constantine 3 University. She taught numerical analysis and chemical kinetics modules in the years 2014 and 2015 in Process Engineering Faculty. She has published some national and international publications.

In the present study, we are interested in the numerical simulation of the air flow in mixed laminar convection, in a two-dimensional square cavity with a side length L while the isothermal sidewalls are moving simultaneously with an upward constant velocity in the vertical direction and subjected to a cold temperature. A constant flux heat source with relative length l is placed in the center of the lower wall. The other parts of this cavity are considered adiabatic. A mathematical model based on the stream function-vorticity (𝜓- ) formulation is used. Discretization of the governing equations is achieved through a finite difference method considering a non-uniform mesh where the spatial partial derivatives and boundary conditions of the phenomenon governing equations are discretized using a high order scheme, and time advance is dealt with by the fourth order Runge Kutta method. The Richardson number (Ri), which represents the relative importance of the natural and forced convection, is chosen as the bifurcation parameter. Although the geometry and boundary conditions for velocity and temperature are symmetrical with respect to the vertical axis passing through the center of the cavity, the analysis of the first results made it possible to detect the existence of a radical change of the flow for values of the Richardson number between 15.6 and 15.7.

Troy Kuersten completed his MS in the year 2017 from California State University, Sacramento. He is an Engineer at Kratos Communications where he works in the field of satellite communications.rnrn

The relation developed by Rizk and Lefebvre in 1985 and modified by Suyari and Lefebvre in 1986 and Wimmer and Brenn in 2013 is the primary relation used to predict the performance of simplex swirl atomizers, but these have never been tested for the conditions involved in hybrid rocketry. After developing a baseline expectation for accuracy of the relation with standard case atomizer experimental data, the relation was then compared to standard geometry cryogenic fluid experimental cases and computational cases of large geometry atomizers. While the relation shows good agreement with the cryogenic case with similar pressure and geometry, it is more inaccurate by an order of magnitude in cases with the larger geometry commonly used in hybrid rocketry.