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1

Mixed convection in the stagnation-point flow over a vertical stretching sheet in the presence of thermal radiation

Manjunatha S., Gireesha B. J., Bagewadi C. S.

International Journal of Applied Mechanics and Engineering

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2015

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Vol. 20, no. 4

871--888

EN

An unsteady two-dimensional stagnation-point mixed convection flow of a viscous, incompressible dusty fluid towards a vertical stretching sheet has been examined. The stretching velocity and the free stream velocity are assumed to vary linearly with the distance from the stagnation point. The problem is analyzed using similarity solutions. The similarity ordinary differential equations were then solved numerical by using the RKF-45 method. The effects of various physical parameters on the velocity profile and skin-friction coefficient are also discussed in this paper. Some important findings reported in this work reveal that the effect of radiation has a significant impact on controlling the rate of heat transfer in the boundary layer region.

2

Heat transfer analysis inside a duct under laminar flow condition using variational method

Banerjee M. K., Banerjee R.

International Journal of Applied Mechanics and Engineering

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2008

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Vol. 13, no 4

889-901

EN

When a fluid flows through a pipe line, the velocity and temperature distribution across the pipe cross section is required to be determined in order to properly utilize the fluid and its associated energy in a process plant. In the present paper, a variational method has been used to determine this distribution in a pipeline of rectangular as well as square cross section under laminar condition. The mathematical equations have been developed describing the velocity and temperature distributions under two cases. In the first case, the heat flow rate is taken to be uniform along the axial direction and in the second case, the wall temperature has been taken to be uniform. In both the cases, the velocity and temperature distribution curves have been drawn from the mathematical equations derived. The distribution curves are presented for a variety of thermal boundary conditions around the periphery of the duct cross section.

3

Asymptotic solution for laminar isothermic flow of compressible fluid between rotating surfaces of revolution

Walicka A.

International Journal of Applied Mechanics and Engineering

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2008

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Vol. 13, no 4

1101-1118

EN

A steady laminar flow of a compressible newtonian fluid is considered, in a narrow space between two surfaces of revolution, rotating with generally different angular velocities about a common axis of symmetry. The problem statement for two classes of throughflow, with full and rotational inertia, is formulated. A procedure for perturbing a creeping flow solution and an iteration scheme are developed to produce a solution for higher approximations. The solution depends on seven parameters and is asymptotic in the sense of its good convergence in the second approximation for both classes of throughflow. Results for the second class of throughflow are presented for the velocity components, the pressure and temperature distributions for typical shapes of surfaces such as disks and spherical surfaces.

4

A finite difference method to find velocity and temperature distribution for parallel plate channel

Banerjee M. K., Banerjee R.

International Journal of Applied Mechanics and Engineering

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2008

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Vol. 13, no 4

875-887

EN

The continuity equation and the simplified version of the time dependent boundary layer momentum and energy equations are solved simultaneously for flow between two parallel plates, using an explicit numerical procedure. Solving the three equations simultaneously eliminates the need to assume the shape of the velocity and temperature profiles. Furthermore, this approach provides a picture of the variation of the velocity and temperature within the entire channel. The steady-state solution is obtained by letting time become very large. The shape of the velocity and temperature profiles seems to be consistent with theoretical expectations. The velocity and temperature profiles become fully developed at approximately x/a=0,05 Re for Pr=l, as expected.