Abstract :
The study of the thermodynamics of relativistic fluid is important in astrophysics and modern physics. In this paper, we calculate two important parameters of the special relativistic fluids which are the viscous stress and heat flux tensors in the Cartesian coordinate system. We calculated the explicit relations of viscous stress tensor with velocity, spatial and time derivative of velocity. Also, the relation of heat flux tensor is derived with velocity, temperature and spatial and time derivatives of them.The components of viscous stress and heat flux tensors in the other coordinates can be derived by the transformation matrix.We use the relativistic method for deriving the non-relativistic viscous stress and heat flux tensors in the limit of the relativistic method. So, to improve the accuracy of non-relativistic studies of shear rate, viscous stress tensor, heat flux vector, and heat flux tensor, especially in the fast fluids, the special relativistic corrections can be used.
