A three-dimensional model of the spray forming method

A three-dimensional model has been formulated to calculate the shape of the general preform, using vector calculus. The shape of a rod, tube, plate, or irregular preform can be calculated at given spray forming conditions. The shape of a spray-formed rod was analyzed at various spray forming conditions using the three-dimensional model. The effects of spray forming parameters, such as spray distribution parameters, angular velocity of rotation, withdrawal velocity, spray angle, and eccentric distance on rod shape, were analyzed. The most important parameters affecting the shape of rods are the spray distribution parameters and the withdrawal velocity. The dynamic evolution of rod shape with a stepwise variation of the withdrawal velocity during spray forming was investigated. The effect of a stepwise change of the withdrawal velocity was the same as that of the scanning atomizer. The calculated surface profiles were compared with those of spray-formed 7075 aluminum alloy rods prepared on a pilot scale. The calculated results for the surface profiles were in agreement with those of the spray-formed rods.

[1]  E. Lavernia,et al.  Kinetics of ceramic particulate penetration into spray atomized metallic droplet at variable penetration depth , 1994 .

[2]  Diran Apelian,et al.  Spray casting of steel strip: Process analysis , 1990 .

[3]  Dimos Poulikakos,et al.  Heat transfer aspects of splat-quench solidification: modelling and experiment , 1994 .

[4]  W. Kurz,et al.  Fundamentals of Solidification , 1990 .

[5]  Diran Apelian,et al.  Analysis of the spray deposition process , 1989 .

[6]  S. Ahn,et al.  Solidification progress and heat transfer analysis of gas-atomized alloy droplets during spray forming , 1994 .

[7]  Patrick S. Grant,et al.  Modelling of droplet dynamic and thermal histories during spray forming—I. individual droplet behaviour , 1993 .

[8]  Alan Watt,et al.  Fundamentals of three-dimensional computer graphics , 1989 .

[9]  J. Szekely,et al.  Fluid flow, heat transfer, and solidification of molten metal droplets impinging on substrates: Comparison of numerical and experimental results , 1992 .

[10]  Ian A. Frigaard The Dynamics of Spray-Formed Billets , 1995, SIAM J. Appl. Math..

[11]  Patrick S. Grant,et al.  Modelling of droplet dynamic and thermal histories during spray forming—II. Effect of process parameters , 1993 .

[12]  E. Lavernia,et al.  Evolution of interaction domain microstructure during spray deposition , 1994 .

[13]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[14]  Gerardo Trapaga,et al.  Mathematical modeling of the isothermal impingement of liquid droplets in spraying processes , 1991 .

[15]  Diran Apelian,et al.  Spray casting: an integral model for process understanding and control , 1991 .

[16]  Roger H. Rangel,et al.  Numerical analysis of the deformation and solidification of a single droplet impinging onto a flat substrate , 1993 .