The analytical solution of Poisson's equation, derived from the definition of vortex, has been applied to the calculations of interference velocities due to the presence of wind tunnel walls.
By using inverse method, the analytical solutions of couple stress fluids were obtained for steady and unsteady cases.
Differing from the traditional energy balance method (EBM), the aeolian vibration has been researched by the semi-analytical solution.
Then, a semi-analytical solution for the velocity response of the pile subjected to a semi-sine wave exciting force was derived by using invert Fourier transform.
The analytical solutions of some problems can be obtained with the method of self-similar functions.
An analytical solution relating X and t can be found for the case of constant or mean heat capacity.
On this basis, it derives the calculating method for the prepayment distribution and default loss distribution of CDO assets pool, and then gets the semi-analytical solution of CDO tranches 'spread.
Two algebraically explicit analytical solutions of the governing equation set for the coupled heat and mass transfer process of rapid drying in porous media are derived.
Present analytical solutions can be simplified as earlier results without the degraded stiffness.
Two sets of algebraically explicit analytical solution are derived for the partial differential equation set describing the one dimensional unsteady gas-liquid two phase flow.
First of all, an analytical solution of dislocation is deduced, which is suitable to elastic semi-infinite plane of homogeneous, transversely isotropic media.
By means of the equivalent nonlinear system met hod, the analytical solution of the joint probability density function of steady- state responses of Coulomb sliding friction rigid structures to vertical Gauss ian white noises is derived.
The analytical solutions for these reactor models are shown to agree very well with the numerical solutions to the exact differential equations.
For the plane stress problem of fixed end orthotropic beams subjected to uniform load, the analytical solutions of stress and displacement were resolved.
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