Bianchi type-V cosmological model along with perfect fluid and heat conduction have been discussed in the presence of Lyra’s geometry(1951 Lyra et al.). By using the law of variation for the mean Hubble parameter the solution contains heat conduction and gauge function for \(n=0 and n\ne 0\), which is related to the average scale factor of metric and gives decelerating parameter. We discussed heat transmission stages from initial time to the late time of the universe. The relation between density and pressure is discussed. We obtain a constant decelerating parameter. Physical interpretation and thermodynamic laws are discussed.
