In real application, once the pattern of fin is determined, fin spacing of tube bank fin heat exchanger can be adjusted in a small region, and air flow velocity in the front of the heat exchanger is not all the same. Therefore, the effects of fin spacing on heat transfer performance of such heat exchanger are needed. This paper numerically studied the optimal fin spacing regarding the different front flow velocities of a circular tube bank fin heat exchanger with vortex generators. To screen the optimal fin spacing, an appropriate evaluation criterion JF was used. The results show that when front velocity is 1.75 m/s, the optimal fin spacing is 2.25 mm, when front velocity is 2.5 m/s, the optimal fin spacing is 2 mm, and when front velocity is higher than 2.5 m/s, the optimal fin spacing is 1.75 mm.
List of symbolsA Cross section area of flow passage (m 2 ) A front Cross section area of flow passage at front inlet (m 2 ) c p Specific heat capacity (J/kg K) D Diameter of the tube (m) d e Characteristic length of flow channel (m) F Total surface involved in heat transfer in the computational domain (m 2 ) f Friction factor, f = Dpd e /(L x qu max 2 /2) h Convective heat transfer coefficient (W/m 2 K) H Height of winglet type vortex generator (m) J n ABS Absolute vorticity flux along the normal direction of cross section (1/s) J n ABS;S Cross section average absolute vorticity flux (1/s) J n ABS;V Volume average absolute vorticity flux (1/s) L Base length of vortex generator (m) L x Stream wise length of fin (m) n Direction normal to the cross section or wall surface N 2 Number of the tubes Nu Nusselt number, Nu = hd e /k p Pressure (Pa) Re Reynolds number, Re = qu max d e /l S 1 Transversal pitch between the tubes (m) S 2 Longitudinal pitch between the tubes (m) T p Net fin spacing (m) T Temperature (K) u front Velocity of air at front inlet (m/s) u in Velocity of air at fin passage inlet (m/s) u max Maximum average velocity of air (m/s) u i , u, v, w Components of velocity vector (m/s) x, y, z CoordinatesGreek variables k Thermal conductivity (W/m K) lViscosity (kg/m s) qDensity (kg/m 3 )