## 1 Introduction  
Nickel-based (Ni) alloys attract more researchers nowadays for their broader applications in the fields like aerospace, automobile, biomedical, and allied industries. Hastelloy is one of the Ni-based alloys, and it holds few unique characteristics like good strength-to-weight ratio, resistance to corrosion, higher melting temperature, good toughness, etc. [1]. Mainly, Hastelloy X is used to fabricate the combustion chamber of an aircraft engine because of its high heat-resisting property. However, the holding of all the above-saidproperties by Hastelloy X, resulting in very poor machinability. In this sense, the manufacturing industries face a difficult task in improving Hastelloy X machinability using traditional machining methods. [2]. Furthermore, the reduction of cutting forces (CF), surface roughness (SR), and cutting temperature (CT) during Hastelloy X machining adds to the difficulty of achieving good machinability. As a result, several researchers have worked on various research projects over time to increase the machinability of Hastelloy. Furthermore, they performed these tests under dry, wet, and cryogenic cooling conditions in order to demonstrate an increase in machinability. Therefore, these literatures are critically reviewed, and the extracted information is given here for ready reference to the readers. [PERSON] et al. [3] studied the impact on cutting force by the parameters, namely axial depth, cutting speed, and feed rate while milling Hastelloy C-22 HS. The models using Response Surface Methodology were developed using experimentation and Finite Element Analysis to predict the optimized cutting force. [PERSON] et al. [4] investigated the tool behavior such as tool wear and tool life during machining of Hastelloy C-22 HS under wet conditions. PVD and CVD multilayer coated carbide tools were used for machining. The tool life was decreased in all the cases while increasing the cutting parameters, namely cutting speed (\(v_{\rm c}\)), feed rate (\(f\)), and axial depth (\(a_{\rm p}\)). [PERSON] [2] studied the machinability of Ni-based (Hastelloy X) alloy under dry cutting conditions. The CF and SR were analyzed against the multilayer coated insert and various \(v_{\rm c}\). The experimentation results showed that the abrasiveness of the carbide particles on the tool and the mechanical loading had a growing influence on the CF. [PERSON] et al. [5] studied the impact of the \(v_{\rm c}\), tool extended length, and novel methods, namely Conventional Turning (CT), Ultrasonic Assisted Turning (UAT) and Hot-Ultrasonic Assisted Turning (HUAT) on the SR, \(a_{\rm p}\), and CT while machining Hastelloy X. The reduction in SR and increment in regular \(a_{\rm p}\) and CT were attained in UAT and HUAT compared to CT. [PERSON] [6] conducted the machinability study on Hastelloy C-276 under dry and cryogenic liquid nitrogen (LN\({}_{2}\)) cooling conditions using turning operation. The output responses such as CT, CF, SR, chip morphology, and tool wear under dry turning were compared with LN\({}_{2}\) cooling-based turning. A considerable reduction in all the output responses was noted under liquid nitrogen cooling-based turning. [PERSON] et al. [7] conducted the CNC turning of Hastelloy C276 by varying \(v_{\rm c}\) and the fixed values of \(f\), \(a_{\rm p}\). The experimentation was executed under dry and LN\({}_{2}\) conditions. Further, Deform 3D analytical tool was used to create the simulation model based on the experimental design to identify the optimal cutting conditions. From the experimentation and simulated model results, it was evident that the cutting temperate and machining forces have been significantly reduced while machining under cryogenic cooling conditions rather than dry conditions. [PERSON] and [PERSON] [8] examined the SR and Tool Wear characteristics of Nimonic 90 alloy and Hastelloy C-276 dry turning. During the turning process, various cutting inserts were used.