CR heating profiles due to CR streaming (upper black curves) and Coulomb losses (lower black curves) for the CR distributions resulting from different streaming velocities as indicated at curves, the turbulent heating profile (grey dashed line, calculated according to Enßlin et al. 2007), and the X-ray cooling profile (grey solid line). The adopted cool core parameters are n₀ = 0.05cm^-3, kT = 3   keV, r_c = 10   kpc, υ_tu = 350   km   s^-1, β_ϱ = 1, β_cc = 0.4, R_cc = 10   r_c, α = 2.5, and a CR to thermal energy ratio of ε_cr/ε_th = 0.15 at the outer radius of the cool core, R_cc, and less in the center (down to ε_cr/ε_th ≈ 0.01 for large α_st). Since we assume the gas motions to be mostly convective, we set χ_tu = 10 to model an efficient radial transport. This implies α_tu = 0.36 and κ_tu = 3.6 × 10³⁰   cm²   s^-1. We further have γ_tu = 2.4, 24, and 120 for α_st = 0.5, 0.05, and 0.01, respectively. The total X-ray cooling luminosity of the cool core region is about 4.4 × 10⁴³   erg   s^-1. The heating power of the turbulence is about the same, but mostly going into outskirts of the cool core. The total CR heating power (streaming plus Coulomb) within the R_cc = 10   r_c is 2.9, 2.4, and 0.8 × 10⁴³   erg   s^-1 for α_st = 0.5, 0.05, and 0.01, respectively.