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    Boundary-layer flow about a vertical spinning cone under mixed thermal boundary conditions and a magnetic field
    (Springer, 2009) Ece, Mehmet Cem; Ozturk, Aysegul
    A similarity analysis was performed to investigate the laminar boundary-layer flow in the presence of a transverse magnetic field over a down-pointing and spinning cone with mixed thermal boundary conditions. Boundary layer velocity and temperature profiles were determined numerically for various values of the magnetic and spin parameters and the Prandtl number. The spin of the cone compresses the velocity profiles towards the surface by inducing an upward flow and decreases the surface temperature. The magnetic field suppresses the velocity profiles and increases the surface temperature. A transformation relating the similarity solutions of the boundary-layer velocity and temperature profiles associated with different values of the mixed thermal boundary condition parameter was obtained.
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    Free convection flow about a vertical spinning cone under a magnetic field
    (Elsevier Science Inc, 2006) Ece, Mehmet Cem
    A similarity analysis was performed to investigate the laminar free-convection boundary-layer flow in the presence of a transverse magnetic field over a heated down-pointing cone spinning with a constant angular velocity about the symmetry axis. Boundary-layer velocity and temperature profiles were determined numerically for prescribed surface temperature or heat flux and for various values of the magnetic and spin parameters and the Prandtl number. The spin of the body augments the velocity profiles increasing the skin friction and compresses the temperature profiles toward the Surface increasing the surface heat flux for the prescribed surface temperature case and decreasing surface temperature for the prescribed heat flux case. The magnetic field suppresses the velocity profiles and decreases the skin friction. The temperature profiles were expanded with increasing values of the magnetic parameter resulting in lower surface heat flux for the prescribed surface temperature case and higher surface temperature for the prescribed heat flux case. (c) 2005 Elsevier Inc. All rights reserved.
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    Mixed convection in a lid-driven and inclined square enclosure under a magnetic field
    (Inderscience Enterprises Ltd, 2009) Ece, Mehmet Cem; Ogut, Elif Buyuk
    Steady, laminar, mixed convection flow under the presence of a magnetic field of arbitrary direction in an inclined square enclosure with isothermally heated and moving side walls, and stationary and adiabatic horizontal walls was considered. The governing equations were solved numerically for the stream function, vorticity and temperature using the differential quadrature method for various Reynolds, Grashof and Hartman numbers and inclination angle of the enclosure. The results showed that the movement of the side walls of the enclosure has a significant effect on the flow and temperature fields. Magnetic field applied parallel to the side walls is more effective in reducing the heat transfer rate. Counterclockwise inclination of the enclosure increases the average Nusselt number while clockwise inclination reduces it.
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    Modelling unsteady convective heat transfer for fuel droplets
    (Pergamon-Elsevier Science Ltd, 2007) Ece, Mehmet Cem; Ozturk, Aysegul
    Unsteady laminar thermal boundary layer flow about an impulsively started isothermal sphere is considered. The stream function and temperature are expanded in series in powers of time. The leading order solutions for stream function and temperature are obtained analytically. Results are applied to a fuel droplet injected into a cylinder of a Diesel engine for small initial time period prior to the time of evaporation. Effective thermal conductivity of the gas surrounding the droplet is obtained in terms of the Reynolds and Prandtl number. Results show that the effective thermal conductivity of the gas is substantially larger than its thermal conductivity. (c) 2006 Elsevier Ltd. All rights reserved.
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    Natural convection flow under a magnetic field in an inclined square enclosure differentialy heated on adjacent walls
    (Springer, 2007) Ece, Mehmet Cem; Bueyuek, Elif
    Steady, laminar, natural-convection flow in the presence of a magnetic field in an inclined square enclosure differentially heated along the bottom and left vertical walls while the other walls are kept isothermal was considered. The governing equations were solved numerically for the stream function, vorticity and temperature ratio using the differential quadrature method for various Grashof and Hartmann numbers, inclination angle of the enclosure and direction of the magnetic field. The orientation of the enclosure changes the temperature gradient inside and has a significant effect on the flow pattern. Magnetic field suppresses the convective flow and its direction also influences the flow pattern, causing the appearance of inner loops and multiple eddies. The surface heat flux along the bottom wall is slightly increased by clockwise inclination and reduced by half by the counterclockwise inclination. The surface heat flux along the upper portion of the left side wall is reversed by the rise of warmer fluids due to the convection currents for no inclination and clockwise inclination of the enclosure.
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    Natural-convection flow under a magnetic field in an inclined rectangular enclosure heated and cooled on a acent walls
    (Iop Publishing Ltd, 2006) Ece, Mehmet Cem; Bueyuek, Elif
    Steady, laminar, natural-convection flow in the presence of a magnetic field in an inclined rectangular enclosure heated from one side and cooled from the adjacent side was considered. The governing equations were solved numerically for the stream function, vorticity and temperature using the differential quadrature method for various Grashof and Hartman numbers and three different aspect ratios, inclination angles and magnetic field directions. The results show that the orientation and the aspect ratio of the enclosure and the strength and direction of the magnetic field have significant effects on the flow and temperature fields. Counterclockwise inclination induces the formation of multiple eddies inside the enclosure significantly affecting the temperature field. Circulation inside the enclosure and therefore the convection become stronger as the Grashof number increases while the magnetic field suppresses the convective flow and the heat transfer rate. (C) 2006 The Japan Society of Fluid Mechanics and Elsevier B.V. All rights reserved.
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    Vibration of a variable cross-section beam
    (Pergamon-Elsevier Science Ltd, 2007) Ece, Mehmet Cem; Aydogdu, Metin; Taskin, Vedat
    Vibration of an isotropic beam which has a variable cross-section is investigated. Governing equation is reduced to an ordinary differential equation in spatial coordinate for a family of cross-section geometries with exponentially varying width. Analytical solutions of the vibration of the beam are obtained for three different types of boundary conditions associated with simply supported, clamped and free ends. Natural frequencies and mode shapes are determined for each set of boundary conditions. Results show that the non-uniformity in the cross-section influences the natural frequencies and the mode shapes. Amplitude of vibrations is increased for widening beams while it is decreased for narrowing beams. (C) 2006 Elsevier Ltd. All rights reserved.