Hamzeh T. Alkasasbeh^*

Frontiers in Heat and Mass Transfer, Vol.18, pp. 1-9, 2022, DOI:10.5098/hmt.18.43

Abstract The purpose of this study is mathematical simulation the combined free convection of hybrid micropolar ferrofluids about a solid sphere with magnetic force. We studied the magnetic oxide (Fe₃O₄) and Cobalt Iron Oxide (CoFe₂O₄) nanoparticles and suspended them into water–ethylene glycol (EG) (H₂O+(CH₂OH)₂ (50-50%) mixture. Numerical results for correlated physical quantities were gained through the Keller Box method along with the assistance of MATLAB software. The influence of relevant contributing parameters on physical quantities are inspected through tables and graphical illustrations. According to the current findings, the mono ferrofluid has the highest local skin friction, heat transmission rate, velocity and… More >

X.G. Yuan^1,2, R.J. Zhang²

CMC-Computers, Materials & Continua, Vol.2, No.3, pp. 201-212, 2005, DOI:10.3970/cmc.2005.002.201

Abstract Cavity formation and growth in a class of incompressible transversely isotropic nonlinearly elastic solid spheres are described as a bifurcation problem, for which the strain energy density is expressed as a nonlinear function of the invariants of the right Cauchy-Green deformation tensor. A bifurcation equation that describes cavity formation and growth is obtained. Some interesting qualitative properties of the bifurcation equation are presented. In particular, cavitated bifurcation is examined for a solid sphere composed of an incompressible anisotropic Gent-Thomas material model with a transversely isotropy about the radial direction. The effect of constitutive parameters on cavity formation and growth is… More >

X.G. Yuan¹, R.J. Zhang²

CMC-Computers, Materials & Continua, Vol.3, No.3, pp. 119-130, 2006, DOI:10.3970/cmc.2006.003.119

Abstract In this paper, the problem of cavity formation and motion in an incompressible transversely isotropic nonlinearly elastic solid sphere, which is subjected to a uniform radial tensile dead load on its surface, is examined in the context of nonlinear elastodynamics. The strain energy density associated with the nonlinearly elastic material may be viewed as the generalized forms of some known material models. It is proved that some determinate conditions must be imposed on the form of the strain energy density such that the surface tensile dead load has a finite critical value. Correspondingly, as the surface tensile dead load exceeds… More >