Natural convection heat transfer has many applications in different fields of industry; such as cooling industries, electronic transformer devices and ventilation equipment; due to simple process, economic advantage, low noise and renewed retrieval. Recently, heat transfer of nanofluids have been considered because of higher thermal conductivity coefficient compared with those of ordinary fluid...

In this paper we give an oscillation criterion for the quasi-differential equation (py')' + qy = 0. The results include a generalisation of an oscillation theorem of Hartman. We also give a necessary and sufficient condition for oscillation.

This paper emphasizes the effect of applying a rotating magnetic field on natural convective flow CNT/Water nanofluid inside corrugated square cavity differentially heated through its sidewalls, while upper and lower boundaries are supposed to be perfectly insulated. The aim this study is highlight impact large variety parameters, namely Hartman number, frequency rotation, Rayleigh nanoparticle...

Sorting by Transpositions is an NP-hard problem for which several polynomial-time approximation algorithms have been developed. Hartman and Shamir (2006) developed a 1.5-approximation [Formula: see text] algorithm, whose running time was improved to O(nlogn) by Feng and Zhu (2007) with a data structure they defined, the permutation tree. Elias and Hartman (2006) developed a 1.375-approximation ...