In the above paper, the energy equation (see Eq. (3) in Ref. [1]) is as follows: 
Tt+uTx+vTy=1ρcpy(κTy)+Φρcp
(1)

where T is the fluid temperature, t is the time, u and v are the velocity components in the x and y directions, respectively, ρ is the fluid density, cp is the specific heat, κ is the thermal conductivity, and Φ is the heat source.

The units of temperature are 
[T]=Kelvin(temperature)
The units of time are 
[t]=sec(time)

Therefore, the units of (Φ/ρcp) are Ks1 in order...

Reference

Reference
1.
Mabood
,
F.
,
Abdel-Rahman
,
R. G.
, and
Lorenzini
,
G.
,
2016
, “
Numerical Study of Unsteady Jeffery Fluid Flow With Magnetic Field Effect and Variable Fluid Properties
,”
ASME J. Therm. Sci. Eng. Appl.
,
8
(
4
), p.
041003
.
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