C | Specific heat at constant pressure |

F | Body force |

g | Local acceleration due to gravity |

H | Constant induced magnetic field |

H | Induced magnetic field |

| Dimensionless induced magnetic fields |

k | Thermal conductivity |

K | Permeability of the porous medium |

t | Time |

P | Pressure gradient |

T | Fluid temperature |

| Dimensionless fluid temperature |

U | Dimensionless primary velocity |

V | Dimensionless secondary velocity |

u, v | Velocity components along x and y axes respectively |

Dimensionless parameters | |

E | Eckert number |

G | Grashof number |

G | Modified Grashof number |

k | Permeability of porous medium |

M | Magnetic Force Number |

P | Prandtl number |

Greek Symbols | |

β | Thermal expansion coefficient |

ρ | Density of the fluid |

m | Dynamic viscosity of the fluid |

m | Magnetic permeability |

u | Kinematic viscosity of the fluid |

s | Electrical conductivity |

Subscripts | |

w | Condition of the wall |

∞ | Condition of the free steam |