This paper demonstrates the 2D numerical investigation to determine outcome of corner modification on heat transfer and flow parameters fluid flowing past static equilateral triangular prism. For this purpose, corners are modified in such a way that 1/8 side length prism is chamfered rounded. Prism placed incompressible one its vertices facing upstream. Flow velocity varies as Reynolds number r...

In this paper we calculate the Ehrhart’s polynomial associated with a 2-dimensional regular polytope (i.e. equilateral triangles) in Z. The polynomial takes a relatively simple form in terms of the coordinates of the vertices of the triangle. We give some equivalent formula in terms of a parametrization of these objects which allows one to construct equilateral triangles with given properties. ...

How to put a metric on a given simplicial complex? One way is to declare all edges to have unit length, and to regard all triangles as equilateral triangles in the Euclidean plane. This yields the equilateral flat metric, also known as regular metric. Many other options are possible; for example, one can assign different lengths to the various edges. The metric is called acute (resp. non-obtuse...

Packing and covering are elementary but very important in combinatorial geometry , they have great practical and theoretical significance. In this paper, we discuss a problem on packing and covering a unit equilateral triangle with smaller triangles which is originated from one of Erd˝ os' favorite problems.

In order to obtain a reasonable extraction drilling method for coal seam working faces and carry out targeted as well cost-effective hole placement optimization, gas–solid coupled model based on the rock deformation field matrix–fissure dual seepage–diffusion was established numerically solved via use of COMSOL Multiphysics finite element software optimize gas transport parameters Dongpang mine...

In this paper, natural heat convection inside square and equilateral triangular cavities was studied using a meshless method based on collocation local radial basis function (RBF). The nanofluids used were Cu-water or -water mixture with nanoparticle volume fractions range of . A system continuity, momentum, energy partial differential equations in modeling the flow temperature behavior fluids....