Mass, Diffusivity, EnergyT, Force, and Velocity can be used in theUnitSystem$function, in addition to those provided previously. Version 11.745 2023-12-07 Thermodynamic and transport property data forHelium3have been added for the Professional license. Version 11.738 2023-11-26 If any of the i...
From the concept of the lines of force used in defining the fields and explained earlier, we can understand that the surface integrals of the field, say ∫Sv E∙ dS, gives the total number of the lines of forces coming out of a volume V enclosed by the surface Sv. Therefore, it rep...
A mathematical analysis of laminar flow may be used to obtain an expression for the head loss along a pipe in terms of the fluid properties, pipe dimensions and flow velocity. Relating the pressure change along a length, L, of pipe of diameter, D, to the change in shear force across the...
NormanDepartmentEpsteinDepartmentThe Canadian Journal of Chemical EngineeringDu, W.; Bi, H.T.; Epstein, N. Exploring a non-dimensional varying exponent equation relating minimum spouting velocity to maximum spoutable bed depth. Canadian Journal of Chemical Engineering 2009, 87, 157-162....
, click the link. ideal gas equation units the ideal gas equation units, terms, and corresponding definitions can be expressed as follows: terms symbol definition units pressure p force per units area pa or n/m 2 volume v three-dimensional space enclosed by the closed surface m 3 amount of...
The first relates the mobility to the velocity auto-correlation in equilibrium, as is also derivable from linear response theory. The second is a generalised Nyquist theorem, relating the memory function to the auto-correlation of the random force driving the velocity fluctuations. Certain subtle ...
In the case of a plasma, we take G to be the fluid velocity u , thus the fluid equation is mn[\frac{\partial u}{\partial t}+(u\cdot\nabla)u]=qn(E+u\times B) 3. The stress tensor When thermal motions are taken into account, a pressure force X has to be added to the rig...
The relating contour profiles of Figure 12. 7 Concluding remarks The purpose of this article is to accumulate the lump, lump-one stripe, multi wave and breather solutions for the Hunter–Saxton equation by way of Hirota bilinear scheme and through defining appropriate transformations. We have succe...
In subject area: Earth and Planetary Sciences A Kinematic Equation is an equation that describes the motion of a vehicle based on its position, velocity, and acceleration without considering internal forces or energy, commonly used in path tracking controller research for defining vehicle motion. ...
Given the work-energy theorem, relating force F and the differential distance Δx over which it acts give differential kinetic energy ΔK: (38)ΔK=FΔx. Substitution into Eq. 38 for the change of kinetic energy ΔK in terms of change in potential energy ΔV of Eq. 37 gives (39)F=...