# Formula Symbols - V

on . Posted in Nomenclature & Symbols for Engineering, Mathematics, and Science

## Formula Symbols

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## V

SymbolGreek SymbolDefinitionEnglishMetricSIValue
$$p_v$$ - vacuum pressure $$\large{\frac{lbf}{in^2}}$$ $$Pa$$ $$kg- m^{-1}-s^{-2}$$ -
$$\varepsilon_0$$ varepsilon vacuum electric permittivity - $$\large{\frac{F}{m}}$$ $$F - m^{-1}$$ $$8.854\;187\;8128\;(13)\;x\;10^{-12}$$ $$\large{\frac{F}{m}}$$
$$\mu_0$$ mu vacuum magnetic permeability - $$\large{\frac{N}{A^2}}$$  $$N - A^{-2}$$ $$1.256\;637\;0614\;x\;10^{-6}$$ $$\large{\frac{N}{A^2}}$$
$$Va$$ - Vadasz number dimensionless -
$$C_v$$, $$\;K_v$$ - valve flow coefficient Cv / Kv dimensionless -
$$C_v$$, $$\;K_v$$ - valve flow coefficient for liquid dimensionless -
$$Q$$ - valve flow rate for liquid $$\large{\frac{ft^3}{sec}}$$ $$\large{\frac{m^3}{s}}$$ $$m^3 - s^{-1}$$ -
$$P_1$$ - valve inlet pressure $$\large{\frac{lbf}{in^2}}$$ $$Pa$$ $$kg- m^{-1}-s^{-2}$$ -
$$P_2$$ - valve outlet pressure $$\large{\frac{lbf}{in^2}}$$ $$Pa$$ $$kg- m^{-1}-s^{-2}$$ -
$$\Delta P$$ - valve pressure differential for liquid $$\large{\frac{lbf}{in^2}}$$ $$Pa$$ $$kg- m^{-1}-s^{-2}$$ -
$$F_o$$ - valve style modifier dimensionless -
$$C_v$$ - valve sizing coefficient - - - -
$$Re_v$$  - valve Reynolds number dimensionless -
- - Van der Waals equation - - - -
$$G_{vd}$$ - vapor density of gas $$\large{\frac{lbm}{ft^3}}$$ $$\large{\frac{kg}{m^3}}$$ $$kg - m^{-3}$$ -
$$p_v$$ - vapor pressure $$\large{\frac{lbf}{in^2}}$$ $$Pa$$ $$kg- m^{-1}-s^{-2}$$ -
$$p_s$$ - vapor pressure of the solution $$\large{\frac{lbf}{in^2}}$$ $$Pa$$ $$kg- m^{-1}-s^{-2}$$ -
$$p_s^0$$ - vapor pressure of pure solution $$\large{\frac{lbf}{in^2}}$$ $$Pa$$ $$kg- m^{-1}-s^{-2}$$ -
$$x$$ - vapor quality dimensionless -
$$EHP_v$$ - vehical engine horsepower $$\large{ \frac{lbf-ft}{sec} }$$ $$\large{ \frac{J}{s} }$$ $$J-s^{-1}$$ -
$$v$$ - velocity $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$m - s^{-1}$$ -
$$v_{cm}$$  - velocity center of mass $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$m - s^{-1}$$ -
$$C_v$$ - velocity coefficient - - - -
- velocity differential $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$m - s^{-1}$$ -
$$\nu$$ nu velocity gradient $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$m - s^{-1}$$ -
$$h_v$$ - velocity head $$ft$$ $$m$$ $$m$$ -
$$c_l$$ - velocity of longitudinal waves $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$m - s^{-1}$$ -
$$P$$ - velocity power $$\large{\frac{lbf-ft}{sec}}$$  $$W$$ $$kg-m^2-s^{-3}$$  -
$$c$$ - velocity of sound $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$m - s^{-1}$$ -
$$c_t$$ - velocity of transverse waves - - - -
$$v_s$$ - velocity of steam $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$m - s^{-1}$$ -
$$v_w$$ - velocity of water $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$m - s^{-1}$$ -
$$\Delta v$$
- velocity differential $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$m - s^{-1}$$ -
$$\nu$$ nu velocity gradient $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$m - s^{-1}$$ -
$$VP$$ - velocity pressure $$\large{\frac{in}{wg}}$$ $$Pa$$ $$kg- m^{-1}-s^{-2}$$ -
$$P$$, $$\;P_v$$ - velocity power $$\large{\frac{lbf-ft}{sec}}$$ $$W$$ $$kg - m^2 - s^{-3}$$  -
$$p_{vc}$$ - vena contracta $$in$$ $$mm$$ $$mm$$ -
$$Q$$ - venturi meter flow rate $$\large{\frac{ft^3}{sec}}$$ $$\large{\frac{m^3}{s}}$$  $$m^3 - s^{-1}$$ -
$$Q$$ - venturi tube flow rate $$\large{\frac{ft^3}{sec}}$$ $$\large{\frac{m^3}{s}}$$  $$m^3 - s^{-1}$$  -
$$y$$ - vertical distance $$ft$$ $$m$$ $$m$$ -
$$EHP$$ - vertical engine horsepower $$\large{ \frac{lbf-ft}{sec} }$$ $$\large{ \frac{J}{s} }$$ $$J - s^{-1}$$ -
$$y$$ - vertical position $$ft$$ $$m$$ $$mm$$ -
$$R$$ - vertical reaction load at bearing point $$lbf$$ $$N$$    $$kg - m - s^{-2}$$ -
$$V$$ - vertical shear force $$lbf$$ $$N$$   $$kg - m - s^{-2}$$  -
$$v$$ - vibrational - - - -
$$\eta$$, $$\;\mu$$ eta, mu viscosity $$\large{\frac{lbf - sec}{ft^2}}$$ $$Pa-s$$ $$kg - m^{-1} - s^{-1}$$ -
$$\eta$$ eta viscosity coefficient $$\large{\frac{lbf - sec}{ft^2}}$$ $$Pa-s$$ $$kg - m^{-1} - s^{-1}$$ -
$$\Delta \eta$$, $$\;\eta_d$$ eta viscosity differential $$\large{\frac{lbf - sec}{ft^2}}$$ $$Pa-s$$ $$kg - m^{-1} - s^{-1}$$ -
$$VI$$ - viscosity index - - - -
$$\mu$$ mu viscosity of a mixture $$\large{\frac{lbf-sec}{ft^2}}$$   $$Pa-s$$ $$kg - m^{-1} - s^{-1}$$ -
$$\mu_s$$ mu viscosity of a slurry $$\large{\frac{lbf-sec}{ft^2}}$$   $$Pa-s$$ $$kg - m^{-1} - s^{-1}$$ -
$$\eta_s$$, $$\;\mu_s$$ eta, mu viscosity of a solution used $$\large{\frac{lbf - sec}{ft^2}}$$ $$Pa-s$$ $$kg - m^{-1} - s^{-1}$$ -
$$\eta$$ eta viscous force - - - -
$$C$$ - viscous damping coefficient (linear) $$\large{\frac{lbf - sec}{ft}}$$ $$\large{\frac{N-s}{m}}$$  $$N-s- m^{-1}$$ -
$$C$$ - viscous damping coefficient (quadratic) $$\large{\frac{lbf - sec^2}{ft^2}}$$ $$\large{\frac{N-s^2}{m^2}}$$  $$N-s^2- m^{-2}$$ -
$$e$$ - void ratio dimensionless -
$$V$$ - volt $$V$$ $$\large{\frac{kg-m^2}{s^{3}-A}}$$ $$kg - m^2 - s^{-3} - A^{-1}$$  -
$$V$$ - voltage (electric) $$V$$ $$\large{\frac{kg-m^2}{s^{3}-A}}$$ $$kg - m^2 - s^{-3} - A^{-1}$$   -
$$VCR$$ - voltage coefficient of resistance $$\large{\frac{V}{I}}$$ $$\large{\Omega}$$  $$kg-m^2-s^{-3}-A^{-2}$$ -
$$V_o$$ - voltage diverter $$V$$ $$\large{\frac{kg-m^2}{s^{3}-A}}$$ $$kg - m^2 - s^{-3} - A^{-1}$$   -
$$VD$$ - voltage drop $$V$$ $$\large{\frac{kg-m^2}{s^{3}-A}}$$ $$kg - m^2 - s^{-3} - A^{-1}$$   -
$$VR$$ - voltage ratio dimensionless -
$$V$$, $$\;\upsilon$$ upsilon volume $$ft^3$$ or $$in^3$$ $$m^3$$ or $$mm^3$$ $$m^3$$ or $$mm^3$$ -
$$V_a$$ - volume of air $$ft^3$$ or $$in^3$$ $$m^3$$ or $$mm^3$$ $$m^3$$ or $$mm^3$$ -
$$V_d$$, $$\;\Delta V$$ Delta volume differential $$ft^3$$ or $$in^3$$ $$m^3$$ or $$mm^3$$ $$m^3$$ or $$mm^3$$ -
$$\phi$$ phi volume fraction - - - -
$$M$$, $$\;\vec{M}$$ - volume magnetization $$\large{\frac{A}{ft}}$$ $$\large{\frac{A}{m}}$$  $$A - m^{-1}$$ -
$$V_s$$ - volume of solid soil $$ft^3$$ or $$in^3$$ $$m^3$$ or $$mm^3$$ $$m^3$$ or $$mm^3$$ -
$$\theta$$ theta volume strain - - - -
$$V_t$$ - volume total $$ft^3$$ or $$in^3$$ $$m^3$$ or $$mm^3$$ $$m^3$$ or $$mm^3$$ -
$$V_v$$ - volume of voids $$ft^3$$ or $$in^3$$ $$m^3$$ or $$mm^3$$ $$m^3$$ or $$mm^3$$ -
$$V_w$$ - volume of water $$ft^3$$ or $$in^3$$ $$m^3$$ or $$mm^3$$ $$m^3$$ or $$mm^3$$ -
$$K$$ - volumetric air/fuel ratio dimensionless -
$$\beta$$ beta volumetric coefficient of expansion $$\large{\frac{1}{R}}$$ $$\large{\frac{1}{K}}$$  $$1 - K^{-1}$$ -
$$Y$$ - volumetric density $$\large{ \frac{lbm}{ft^3} }$$ $$\large{ \frac{kg}{m^3} }$$ $$kg - m^{-3}$$ -
$$\eta_v$$ eta volumetric efficiency dimensionless -
$$Q$$, $$\;V$$, $$\;\dot {V}$$ - volumetric flow rate $$\large{\frac{ft^3}{sec}}$$ $$\large{\frac{m^3}{s}}$$ $$m^3 - s^{-1}$$  -
$$B$$ - volumetric fraction dimensionless -
$$\Delta V$$ - volumetric thermal expansion $$\large{ \frac{in^3}{in^3\;F} }$$ $$\large{ \frac{mm^3}{mm^3-C} }$$ $$mm^3 - mm^{-3} - C^{-1}$$ -
$$\alpha_v$$ alpha volumetric thermal expansion coefficient $$\large{ \frac{in^3}{in^3\;F} }$$ $$\large{ \frac{mm^3}{mm^3-C} }$$ $$mm^3 - mm^{-3} - C^{-1}$$ -
$$\theta$$ theta volumetric water content $$ft^3$$ $$m^3$$ $$m^3$$ -
$$k$$ - von Karman constant dimensionless constant  universal used 0.40 (between 0.35 and 0.42)
$$R_k$$ - von Klitzing constant $$\Omega$$ $$\Omega$$ $$kg - m^2 - s^-3 - A^-2$$ $$25\;812.807\;4434...$$ $$\Omega$$
Symbol Greek Symbol Definition English Metric   Value

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