Author

# K. Obasih

Bio: K. Obasih is an academic researcher. The author has contributed to research in topics: Nusselt number & Open-channel flow. The author has an hindex of 1, co-authored 2 publications receiving 5 citations.

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01 Jan 1982

TL;DR: In this article, a numerical solution of flow and heat transfer characteristics is obtained by the finite analytic method for a two dimensional laminar channel flow over a two-dimensional square cavity.

Abstract: A numerical solution of flow and heat transfer characteristics is obtained by the finite analytic method for a two dimensional laminar channel flow over a two-dimensional square cavity The finite analytic method utilizes the local analytic solution in a small element of the problem region to form the algebraic equation relating an interior nodal value with its surrounding nodal values Stable and rapidly converged solutions were obtained for Reynolds numbers ranging to 1000 and Prandtl number to 10 Streamfunction, vorticity and temperature profiles are solved Local and mean Nusselt number are given It is found that the separation streamlines between the cavity and channel flow are concave into the cavity at low Reynolds number and convex at high Reynolds number (Re greater than 100) and for square cavity the mean Nusselt number may be approximately correlated with Peclet number as Nu(m) = 0365 Pe exp 02

4 citations

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01 Jan 1982

TL;DR: In this paper, a finite analytic method for a two dimensional laminar channel flow over a two-dimensional square cavity is presented. Butler et al. utilized the local analytic solution in a small element of the problem region to form the algebraic equation relating an interior nodal value with its surrounding nodal values.

Abstract: A numerical solution of flow and heat transfer characteristics is obtained by the finite analytic method for a two dimensional laminar channel flow over a two-dimensional square cavity. The finite analytic method utilizes the local analytic solution in a small element of the problem region to form the algebraic equation relating an interior nodal value with its surrounding nodal values. Stable and rapidly converged solutions were obtained for Reynolds numbers ranging to 1000 and Prandtl number to 10. Streamfunction, vorticity and temperature profiles are solved. Local and mean Nusselt number are given. It is found that the separation streamlines between the cavity and channel flow are concave into the cavity at low Reynolds number and convex at high Reynolds number (Re greater than 100) and for square cavity the mean Nusselt number may be approximately correlated with Peclet number as Nu(m) = 0.365 Pe exp 0.2.

1 citations

##### Cited by

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TL;DR: In this paper, a finite analytic (FA) numerical solution was developed for unsteady two-dimensional Navier-Stokes equations, which utilizes the analytic solution in a small local element to formulate the algebraic representation of partial differential equations.

Abstract: A finite analytic (FA) numerical solution is developed for unsteady two-dimensional Navier-Stokes equations. The FA method utilizes the analytic solution in a small local element to formulate the algebraic representation of partial differential equations. The combination of linear and exponential functions that satisfy the governing equation is adopted as the boundary function, thereby improving the accuracy of the finite analytic solution. Two flows, one a starting cavity flow and the other a vortex shedding flow behind a rectangular block, are solved by the FA method. The starting square cavity flow is solved for Reynolds number of 400, 1000, and 2000 to show the accuracy and stability of the FA solution. The FA solution for flow over a rectangular block (H x H/4) predicts the Strouhal number for Reynolds numbers of 100 and 500 to be 0.156 and 0.125. Details of the flow patterns are given. In addition to streamlines and vorticity distribution, rest-streamlines are given to illustrate the vortex motion downstream of the block.

143 citations

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TL;DR: In this paper, the effect of the aspect ratio (depth to width) on the mass transfer over the cavity surfaces was investigated in an impulsively started lid-driven flow over an open cavity, where a deterministic vortex method was employed to investigate the transient mass/heat transfer phenomena in the cavity.

Abstract: In an impulsively started lid‐driven flow over an open cavity, a deterministic vortex method is employed to investigate the transient mass/heat transfer phenomena in the cavity. The aim of the present study is to investigate the effect of the aspect ratio (depth‐to‐width) on the mass transfer over the cavity surfaces. At Re = 1,000 and Sc = 2.2 or Pr = 2.2, the temporal evolution of vortices in the cavity is presented in a range of aspect ratios from 0.5 to 2.0. In addition, the mass transfer rates over all three cavity surfaces illustrate the effect of the aspect ratio on the local mass (heat) transfer coefficients as the steady‐state flow condition is reached.

5 citations

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TL;DR: In this article, a finite analytic method is employed to solve the Navier-Stokes equations with the velocity-pressure formulation, and the Chorin's artificial compressibility method and the method of pressure corrections are employed in order to be able to compute the pressure explicitly.

Abstract: The finite analytic method is employed to solve the Navier-Stokes equations with the velocity-pressure formulation. The Chorin's artificial compressibility method and the method of pressure corrections are employed in order to be able to compute the pressure explicitly. The results are compared with the stream function-vorticity ones, and those of finite element and finite difference methods.

3 citations

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TL;DR: In this article, a novel numerical method was employed to investigate the flow patterns of a viscous, incompressible fluid in a rectangular domain of small aspect ratio whose vertical walls have been exposed to an exponential temperature variation.

Abstract: A novel numerical method has been employed to investigate the flow patterns of a viscous, incompressible fluid in a rectangular domain of small aspect ratio whose vertical walls have been exposed to an exponential temperature variation. The influence of Grashof number on the flow, for a fixed aspect ratio and Prandtl number is used to explain the overall bouyancy exchange.