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    • 1. 发明专利
    • FI991259A
    • 1999-12-04
    • FI991259
    • 1999-06-02
    • ISHIKAWAJIMA HARIMA HEAVY INDKATO HIROHARU
    • TAKAHASHI YOSHIAKIYOSHIDA YUKIKATO HIROHARU
    • B63B1/38B63B9/00F15D1/12G01N13/02G01N19/02G01N
    • A method is provided for analyzing the effects of bubbles on skin-friction reduction in a ship cruising in a bubbly flow field. A shear stress decrement tau t, produced by a bubble in a flow field is obtained in a high frequency band region, in which a product of a bubble time-constant T and a turbulence frequency omega L in a flow field is sufficiently greater than 1, based on a resistive force DELTA Rv acting on a bubble derived from the bubble movements in a fluid flow direction along a ship surface and in a direction at right angles to a ship wall surface. Assuming that the shear stress decrement is generated by a decrease in a gas mixing length, an expression for the operative wall constant kappa 1 for bubbly flow including a parametric bubble diameter db is derived. Based on an expression relating the operative wall constant kappa 1 and a local friction factor Cf in bubbly flow, and an expression relating the normal wall constant kappa in non-bubbly flow and a local friction factor Cf0 in non-bubbly flow, an analytical solution is obtained for a skin-friction ratio Cf/Cf0.
    • 2. 发明专利
    • FI991259A0
    • 1999-06-02
    • FI991259
    • 1999-06-02
    • ISHIKAWAJIMA HARIMA HEAVY INDKATO HIROHARU
    • TAKAHASHI YOSHIAKIYOSHIDA YUKIKATO HIROHARU
    • B63B1/38B63B9/00F15D1/12G01N13/02G01N19/02G01N
    • A method is provided for analyzing the effects of bubbles on skin-friction reduction in a ship cruising in a bubbly flow field. A shear stress decrement tau t, produced by a bubble in a flow field is obtained in a high frequency band region, in which a product of a bubble time-constant T and a turbulence frequency omega L in a flow field is sufficiently greater than 1, based on a resistive force DELTA Rv acting on a bubble derived from the bubble movements in a fluid flow direction along a ship surface and in a direction at right angles to a ship wall surface. Assuming that the shear stress decrement is generated by a decrease in a gas mixing length, an expression for the operative wall constant kappa 1 for bubbly flow including a parametric bubble diameter db is derived. Based on an expression relating the operative wall constant kappa 1 and a local friction factor Cf in bubbly flow, and an expression relating the normal wall constant kappa in non-bubbly flow and a local friction factor Cf0 in non-bubbly flow, an analytical solution is obtained for a skin-friction ratio Cf/Cf0.
    • 3. 发明专利
    • FI982302A0
    • 1998-10-23
    • FI982302
    • 1998-10-23
    • ISHIKAWAJIMA HARIMA HEAVY INDKATO HIROHARU
    • TAKAHASHI YOSHIAKIYOSHIDA YUKIKATO HIROHARU
    • B63B1/38B63B9/00F15D1/12G01M10/00B63B
    • A computer simulation of bubbles enveloping a ship is performed by a. calculating a turbulent flow energy and an energy loss caused by an energy dissipation factor as well as an average fluid velocity in each of cells defined by three-dimensional orthogonal lattices constructed in a flow field including a turbulent boundary layer formed about a submerged surface of the ship; b. simulating a generation and ejection of a bubble into the turbulent flow layer at a given time from a given jet outlet with a given initial bubble velocity; c. calculating directional bubble velocities in each of cells according to the turbulent flow energy, the energy dissipation factor, the average fluid velocity and random numbers; d. calculating a bubble location at a succeeding unit time by solving equations of motion according to the directional bubble velocities and average fluid velocity; e. calculating a void fraction in each of cells according to the bubble location at the succeeding unit time; f. repeating step c to step e for another bubble for a given number of iterations until an integer time is reached by incrementing a time parameter by a unit time; and g. calculating distribution of void fractions in all cells to represent an overall distribution of bubbles at the integer time, and terminating computation when it is decided that the distribution of bubbles is converging.