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A hodograph is a diagram that gives a vectorial visual representation of the movement of a body or a fluid. It is the locus of one end of a variable vector, with the other end fixed. [ 1 ] The position of any plotted data on such a diagram is proportional to the velocity of the moving particle. [ 2 ]
Shock polar in the pressure ratio-flow deflection angle plane for a Mach number of 1.8 and a specific heat ratio 1.4. The minimum angle, , which an oblique shock can have is the Mach angle = (/), where is the initial Mach number before the shock and the greatest angle corresponds to a normal shock.
A mesoscale convective complex has either an area of cloud top of 100,000 km 2 or greater with temperature less than or equal to −32 °C, or an area of cloud top of 50,000 km 2 with temperature less than or equal to −52 °C.
On the momentum hodograph in the relevant section above, B is readily seen to connect the origin of momenta with the center of the circular hodograph, and to possess magnitude A/L. At perihelion, it points in the direction of the momentum. The vector B is denoted as "binormal" since it is perpendicular to both A and L. Similar to the LRL vector ...
The typical hodograph, plot of the wind versus altitude, associated with it shows a linear wind shear with altitude [3] The moderate vertical wind shear leads to the development of a non-symmetric surface convergence associated with the thunderstorm outflow, with the strongest convergence taking place on the downwind side from the storm's ...
Hodograph plot of wind vectors at various heights in the troposphere, which is used to diagnose vertical wind shear Main article: Wind shear Wind shear, sometimes referred to as wind gradient , is a difference in wind speed and direction over a relatively short distance in the Earth's atmosphere. [ 61 ]
In CAD area this is a drawback, because CAD systems use polynomials or rational curves. In order to get at least rational curves, the square root of the representation of the parallel curve has to be solvable. Such curves are called pythagorean hodograph curves and were investigated by R.T. Farouki. [14]
There is Hamilton's paper on fluctuating functions in Fourier analysis, and the invention of the hodograph. Of his investigations into the solutions, especially by numerical approximation , of certain classes of physically-important differential equations, only parts were published, at intervals, in the Philosophical Magazine .