Mathematical model for Maxwell fluid flow in rotating frame induced by an isothermal stretching wall is explored numerically. Scale analysis based boundary layer approximations are applied to simplify the conservation...Mathematical model for Maxwell fluid flow in rotating frame induced by an isothermal stretching wall is explored numerically. Scale analysis based boundary layer approximations are applied to simplify the conservation relations which are later converted to similar forms via appropriate substitutions. A numerical approach is utilized to derive similarity solutions for broad range of Deborah number. The results predict that velocity distributions are inversely proportional to the stress relaxation time. This outcome is different from that observed for the elastic parameter of second grade fluid. Unlike non-rotating frame, the solution curves are oscillatory decaying functions of similarity variable. As angular velocity enlarges, temperature rises and significant drop in the heat transfer coefficient occurs. We note that the wall slope of temperature has an asymptotically decaying profile against the wall to ambient ratio parameter. From the qualitative view point, temperature ratio parameter and radiation parameter have similar effect on the thermal boundary layer. Furthermore, radiation parameter has a definite role in improving the cooling process of the stretching boundary.A comparative study of current numerical computations and those from the existing studies is also presented in a limiting case. To our knowledge, the phenomenon of non-linear radiation in rotating viscoelastic flow due to linearly stretched plate is just modeled here.展开更多
The quantum hydrodynamic model is employed to investigate the effects of gravitational potential on multi-component dusty plasmas.The effects of Fermi temperature ratios of ions to electrons(TFi/TFe)and positrons to e...The quantum hydrodynamic model is employed to investigate the effects of gravitational potential on multi-component dusty plasmas.The effects of Fermi temperature ratios of ions to electrons(TFi/TFe)and positrons to electrons(TFp/TFe)have been calculated and presented graphically.It is observed that an increase in the Fermi temperature ratios of ions to electrons and positrons to electrons stabilizes the Jeans instability as the mode phase speed increases with these ratios.In the absence of the statistical effects due to Fermi pressure,the dispersion is weak.The stability criteria are calculated for each case separately.展开更多
文摘Mathematical model for Maxwell fluid flow in rotating frame induced by an isothermal stretching wall is explored numerically. Scale analysis based boundary layer approximations are applied to simplify the conservation relations which are later converted to similar forms via appropriate substitutions. A numerical approach is utilized to derive similarity solutions for broad range of Deborah number. The results predict that velocity distributions are inversely proportional to the stress relaxation time. This outcome is different from that observed for the elastic parameter of second grade fluid. Unlike non-rotating frame, the solution curves are oscillatory decaying functions of similarity variable. As angular velocity enlarges, temperature rises and significant drop in the heat transfer coefficient occurs. We note that the wall slope of temperature has an asymptotically decaying profile against the wall to ambient ratio parameter. From the qualitative view point, temperature ratio parameter and radiation parameter have similar effect on the thermal boundary layer. Furthermore, radiation parameter has a definite role in improving the cooling process of the stretching boundary.A comparative study of current numerical computations and those from the existing studies is also presented in a limiting case. To our knowledge, the phenomenon of non-linear radiation in rotating viscoelastic flow due to linearly stretched plate is just modeled here.
文摘The quantum hydrodynamic model is employed to investigate the effects of gravitational potential on multi-component dusty plasmas.The effects of Fermi temperature ratios of ions to electrons(TFi/TFe)and positrons to electrons(TFp/TFe)have been calculated and presented graphically.It is observed that an increase in the Fermi temperature ratios of ions to electrons and positrons to electrons stabilizes the Jeans instability as the mode phase speed increases with these ratios.In the absence of the statistical effects due to Fermi pressure,the dispersion is weak.The stability criteria are calculated for each case separately.
