Approximation techniques for which the pressure and the velocity degrees of freedom are not associated with the same nodes are usually called staggered approximations. Staggering pressure and velocity unknowns is common in solution methods for the incompressible Stokes and Navier–Stokes equations; see al...
(Mathematics) a conic section formed by the intersection of a cone by a plane parallel to its side. Standard equation:y2= 4ax, where 2ais the distance between focus and directrix [C16: via New Latin from Greekparabolēa setting alongside; see parable] ...
If the distance from the observation point to the ellipsoid increases, ξ>>1, the latter gives (3.129)r2=x2+y2+z2→ξ and, correspondingly, the function G1(ξ) decreases proportionally to the inverse of the square of the distance r. The same behavior holds for the potential of the sys...
Find amplitude, period, initial phase (in degrees), and speed of this wave. In what time, velocity of a particle attached to the string at a distance For a particular transverse wave that travels along a string that lies on the...
When an object moves at a constant velocity, the distance traveled by the object increases linearly with time. The basic linear equation is D = RT, where D is the distance traveled by the object, R is the rate at which the object is traveling, and T is the time for wh...
where {eq}\vec{ x } {/eq} is the position, {eq}\vec{ v } {/eq} the velocity, {eq}t {/eq} the time and {eq}\vec{ x }_i {/eq} the initial position. Like any velocity, a constant velocity is measured in units of distance over time. In the SI system, this means meters...
This leads to an expression for the velocity of propagation (5.14)v=c/(εμ)1/2 Comparison of this expression with the law of refraction, derived in Chapter 2, leads to what is known as Maxwell's formula (Born and Wolf, 1999): (5.15)n=(εμ)1/2 Here, n is the refractive index...
where Co is the input solute concentration (mg/L), t is the duration of solute input pulse (hour), x is distance (L), D is hydrodynamic dispersion coefficient (cm2/h), and υ (= q/θ) is average pore water velocity (cm/h). Moreover, R is a dimensionless retardation factor, wher...
3. A car on a circular race track is going round and round in circles as part of a race. The car is traveling at a speed of 200 km per hour. What is the velocity of the car on the finish line and why? Answers 1. John's speed is given by SPEED = DISTANCE/TIME or SPEED =...
If a car increases its velocity from zero to 35 m/s in 10 seconds, what is its acceleration? How do you find distance with constant acceleration and time? A car has a velocity of 25 m and accelerates uniformly to 45 m/s in 10 seconds. What is the acceleration? What is the average...