Table 1 Tabulation for important symbols and parameters.
Name | Symbol | Unit | Name | Symbols or expression |
|---|---|---|---|---|
\(u,v,w\) | Velocity components | \(\mathrm{m}/\mathrm{s}\) | Nano fluid | nf |
Density | \(\rho\) | \(\mathrm{kg}/{\mathrm{m}}^{3}\) | Fluid | f |
Temperature | \(T\) | \(\mathrm{K}/\mathrm{C}\) | Solid particle | s |
Concentration | \(C\) | \(\mathrm{mol}/{\mathrm{m}}^{3}\) | Rate of chemical reaction | \({k}_{1}\) |
Electrical conductivity | \(\sigma\) | \(\mathrm{S}/\mathrm{m}\) | Volume fraction | \(\phi\) |
Heat capacity | \({C}_{p}\) | \(\mathrm{J}/\mathrm{K}\) | \(\mathrm{Ethylene glycol}\) | \(\upgamma {\mathrm{Al}}_{2}{\mathrm{O}}_{3}\) |
Thermal conductivity | \(k\) | \(\mathrm{W}/\mathrm{mK}\) | Hartmann | \(H{a}^{2}=\frac{2L{B}_{0}^{2}}{U}{\mathrm{e}}^{-\frac{x}{L}}\) |
Current density | \({\varvec{J}}\) | \(\mathrm{A}/{\mathrm{m}}^{2}\) | Prandtl | \(\frac{1}{\mathrm{Pr}}=\frac{{k}_{f}}{{\nu }_{f}{\left(\rho {c}_{p}\right)}_{f}}\) |
Viscosity | \(\mu\) | \(\mathrm{PI}\) | Diffusion | \({D}_{f}=\frac{D{k}_{T}}{{c}_{s}{\left({c}_{p}\right)}_{f}{\nu }_{f}}\frac{\left({C}_{w}-{C}_{\infty }\right)}{\left({T}_{w}-{T}_{\infty }\right)}\) |
Magnetic field | \({\varvec{B}}\) | Tesla (T) | Eckert | \(E{c}_{x}=\frac{1}{{\left({c}_{p}\right)}_{f}}\frac{{U}^{2}}{{T}_{w}-{T}_{\infty }}{\mathrm{e}}^\frac{2x}{L}\) |
Electric field | \(E\) | \(\mathrm{N}/\mathrm{C}\) | Radiation | \(R=\frac{16{\sigma }^{*}{T}_{\infty }^{3}}{3{k}^{*}{k}_{f}}\) |
Gravitational Acceleration | \(g\) | \(\mathrm{m}/{\mathrm{s}}^{2}\) | Schmidt | \(Sc=\frac{{\nu }_{f}}{D}\) |
Kinematics viscosity | \(\nu\) | \({\mathrm{m}}^{2}/\mathrm{s}\) | Soret | \(Sr=\frac{D{k}_{T}}{{\nu }_{f}{T}_{m}}\frac{\left({T}_{w}-{T}_{\infty }\right)}{\left({C}_{w}-{C}_{\infty }\right)}\) |
Transformed variable | \(\aleph\) | Chemical reaction numbers | \(\delta =\frac{2{k}_{1}L}{U}{\mathrm{e}}^{-\frac{x}{L}}\) |
