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Unsteady MHD natural convective boundary layer flow and heat transfer over a truncated cone in the presence of pressure work

Ajay C. K., Srinivasa A. H.

Journal of Applied Mathematics and Computational Mechanics

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2020

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Vol. 19, nr 1

5--16

EN

The aim of the present paper is to analyse the effect of MHD on unsteady natural convection boundary layer flow and heat transfer over a truncated cone in the presence of pressure work. Suitable transformation is utilized to form a system of coupled non-linear partial differential equations for governing both the flow and heat transfer. These equations have been solved numerically by utilizing an implicit finite difference scheme along with quasilinearization method. Here, the computed numerical results are displayed graphically in terms of the local Nusselt number, skin friction, temperature distribution, and velocity distribution for various values of the magnetic and pressure work parameters along with the fixed Prandtl number

2

Experimental analysis of single point incremental forming of truncated cones in DC04 steel sheet

Krasowski B., Kubit A., Trzepieciński T., Slota J.

Advances in Materials Science

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2020

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Vol. 20, nr 4(66)

5--15

EN

Experimental tests to form truncated cones were carried out on a 3-axis milling machine. 0.8-mm thick low-alloy DC04 steel sheets were used as test material. The profile tool-path trajectory was generated using the EDGECAM software. The slope angle and diameter of the base of the conical shaped drawpieces were 70°-72° and 65 mm, respectively. The drawpiece heights were up to 75 mm. The full synthetic lubricant 75W85 was used to reduce the frictional resistance. The effect of selected incremental forming parameters on the formability of the DC04 sheet and the susceptibility to crack formation have been analysed and discussed. It was found that the surface roughness of the workpiece is strongly influenced by step depth. By controlling the feed rate, it is possible to prevent failure of the material.

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Zastosowanie metody Rayleigh’a do obliczenia pierwszej częstości drgań własnych słupów wspornikowych o zmiennym przekroju poprzecznym

Jaworski J., Szlachetka O., Aguilera-Cortés L. A.

Czasopismo Inżynierii Lądowej, Środowiska i Architektury / Journal of Civil Engineering, Environment and Architecture

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2015

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z. 62, nr 3/II

185--194

PL

Metodą Rayleigh’a wyprowadzono wzory na częstość (lub okres) dla pierwszej postaci drgań własnych (giętnych) słupów wspornikowych w kształcie ściętego stożka o różnych zbieżnościach ścianek bocznych, z materiału jednorodnego i sprężystego. Przyjęto, że kształt wychylenia osi słupa podczas drgań odpowiada ugięciu statycznemu pod działaniem obciążenia ciągłego. Uwzględniono trzy różne rozkłady obciążeń ciągłych. Otrzymane okresy drgań porównano z wynikami uzyskanymi metodą elementów skończonych (ANSYS). Stwierdzono dużą zgodność wyników. Przeanalizowano możliwość rozszerzenia uzyskanych wyników dla słupów wspornikowych w kształcie ostrosłupów ściętych prawidłowych i ściętego stożka współosiowo wydrążonego (rury stożkowej).

EN

Formulas for the frequency (or period) in the first mode of natural transverse vibration of homogenous and elastic columns with clamped bottom and free head were derived by Rayleigh’s method. The columns are shaped as truncated-cones with different inclination of lateral faces, from cylinder to cone. The deflection line of a column axis during the vibration in the form of the bending line of uniformly loaded columns was assumed. Three forms of linear variable continuous loads were included. Resulting periods were compared with those obtained using FEM (program ANSYS) and a good exactitude of results was observed. Possibilities of amplification of obtained equations for cantilever columns in form of truncated regular pyramids and hollow cone (tube shaped like a cone) were discussed.