The accretion of test fluids flowing onto a black hole is investigated. Particularly, by adopting a dynamical Hamiltonian approach, we are capable to find the critical points for various cases of black hole in conformal gravity. In these cases, we have analyzed the general solutions of accretion employing the isothermal equations of state. The steady state and spherically symmetric accretion of different test fluids onto the conformal gravity black hole has been considered. Further, we have classified these flows in the context of equations of state and the cases of conformal gravity black hole. The new behavior of polytropic fluid accretion is also discussed in all three cases of black hole. Black hole mass accretion rate is the most important part of this research in which we have investigated that the Schwarzschild black hole produce a typical signature than the conformal gravity black hole and Schwarzschild–de Sitter black hole. The critical fluid flow and the mass accretion rate have been presented graphically by the impact parameters \(\beta \), \(\gamma \), k and these parameters have great significance. Additionally, the maximum mass rate of accretion fall near the universal and Killing horizons and minimum rate of accretion occurs in between these regions. Finally, the results are compared with the different cases of black hole available in the literature.

研究了流入黑洞的测试液的积聚。特别是，通过采用动态哈密顿量方法，我们能够找到各种等角引力下黑洞情况的临界点。在这些情况下，我们使用等温状态方程分析了吸积的一般解。已经考虑了不同测试流体在共形重力黑洞上的稳态和球对称吸积。此外，我们在状态方程和共形重力黑洞的情况下对这些流进行了分类。还讨论了在所有三种黑洞情况下多相流体积聚的新行为。黑洞质量增加率是这项研究中最重要的部分，在该研究中，我们调查了Schwarzschild黑洞比保形重力黑洞和Schwarzschild-de Sitter黑洞产生了典型特征。临界流体流量和质量增加率已通过冲击参数以图形方式表示\（\ beta \），\（\ gamma \），k和这些参数具有重要意义。此外，最大吸积率落在普遍视野和Killing视野附近，而最小吸积率出现在这些区域之间。最后，将结果与文献中可用的黑洞的不同情况进行比较。