  We have explored the shear viscosity and electrical conductivity calculations
for bosonic and fermionic medium, which goes from without to with magnetic
field picture and then their simplified massless expressions. In presence of
magnetic field, 5 independent velocity gradient tensors can be designed, so
their corresponding proportional coefficients, connected with the viscous
stress tensor provide us 5 shear viscosity coefficients. In existing
litterateurs, two sets of tensors are available. Starting from them, present
work has obtained two sets of expressions for 5 shear viscosity coefficients,
which can be ultimately classified into three basic components: parallel,
perpendicular and Hall components as one get same for electrical conductivity
at finite magnetic field. Our calculations are based on kinetic theory approach
in relaxation time approximation. Repeating same mathematical steps for finite
magnetic field picture, which traditionally practiced for without field case,
we have obtained 2 sets of 5 shear viscosity components, whose final
expressions are in well agreements with earlier references, although a
difference in methodology or steps can be clearly noticed. Realizing the
massless results of viscosity and conductivity for Maxwell-Boltzmann,
Fermi-Dirac and Bose-Einstein distribution function, we have applied them for
massless quark gluon plasma and hadronic matter phases, which can provide us a
rough order of strength, within which actual results will vary during
quark-hadron phase transition. Present work also indicates that magnetic field
might have some role for building perfect fluid nature in RHIC or LHC matter.
The lower bound expectation of shear viscosity to entropy density ratio is also
discussed.
