An approximate analytical solution is obtained for hypersonic flow past a slender elliptic cone using second-order perturbation techniques in spherical coordinate systems. The analysis is based on perturbations of hypersonic flow past a circular cone aligned with the free stream, the perturbations stemming from the small cross-section eccentricity. By means of hypersonic approximations for the ...

This paper presents the dynamic modeling and design of micro motion compliant parallel mechanism with flexible intermediate links and rigid moving platform. Modeling of mechanism is described with closed kinematic loops and the dynamic equations are derived using Lagrange multipliers and Kane’s methods. Euler-Bernoulli beam theory is considered for modeling the intermediate flexible link. Based...

Abstract The gravitational field is important for many natural phenomena related to earth dynamics, especially mass transport. Its precise determination essential sciences such as geodesy, geophysics and oceanography. Determining the earth’s same determining potential. Since this potential a harmonic function outside earth, spherical series are often used represent gravity field. Global Geopote...

A variational and perturbative treatment is provided for a family of generalized spiked harmonic oscillator Hamiltonians H = − d dx + Bx + A x + λ xα ,where B > 0, A ≥ 0 , and α and λ denote two real positive parameters. The method makes use of the function space spanned by the solutions |n> of Schrödinger’s equation for the potential V (x) = Bx + A x . Compact closed-form expressions are obtai...

We compute the matrix elements of the operators which contribute to spectator effects in inclusive decays of B-mesons. The results agree well with estimates based on the vacuum saturation (factorization) hypothesis. For the ratio of lifetimes of charged and neutral mesons we find τ (B −)/τ (B d) = 1.03 ± 0.02 ± 0.03, where the first error represents the uncertainty in our evaluation of the matr...

in this article, we demonstrate an analytic-numeric solution for some dynamical systems using the multistagehomotopy perturbation method. the method yields results that are in complete agreement with their numericalcounterparts.

this work concerns the peristaltic flow of a williamson fluid model in an inclined asymmetric channel under combined effects of heat and mass transfer. the governing nonlinear partial differential equations are simplified under the lubrication approach and then solved analytically and numerically. the analytical results are computed with the help of regular perturbation and the numerical result...

The Claudson-Halpern stochastic processes for QCD 4 are verified to all orders of perturbation theory resulting in a number of new finite-time, infrared finite, perturbation expansions of the theory. The map viewpoint shows that the superficial quadratic divergences of QCD 4, at least in the temporal gauge, are related to the choice of any particular final state configuration in the Feynman pat...