  The plan of this study is to inspect the effects of dynamics of dissipative
gravitational collapse in cylindrical symmetric non-static spacetime by using
Misner-Sharp concept in context of metric $f(R)$ theory of gravity. For more
generic isotropic fluid distribution of cylindrical object by dissipative
nature of dark source of the fluid due to energy matter tensor,the Misner-Sharp
approach technique has been used to illustrate the heat flux with free
radiating out flow, bulk and shear viscosity. Furthermore, dynamical equation
have been associated with full casual heat transportation equations in
framework of $M\ddot{u}ller$-Israel-Stewart formalism. The present study
explain the effects of thermodynamics viscid/heat radiating coupling factors on
gravitational collapse in $M\ddot{u}ller$-Israel-Stewart notion and matches
with the consequences of prior astrophysicists by excluding such coefficients
and viscosity variables.
