## 1 Introduction
In both cases, the roughness and tool wear metrics were observed to be larger as the turning length was increased. [PERSON] and [PERSON] [8] made a comparative analysis on the tool wear rate and SR during the turning of Hastelloy C-22 underneath dry and LN\({}_{2}\) cooling conditions. A substantial drop in the SR was found in the turning of Hastelloy under LN\({}_{2}\) cooling rather than dry turning. [PERSON] et al. [9] used the Box-Behnken method to design the experiments by considering the ranges of parameters, namely \(v_{\rm c}\), \(a_{\rm p}\), lubricating conditions, constant \(f\), and (wet, dry, and reduced quantity lubrication) for finish turning the Hastelloy X. The experimental results showed that the \(v_{\rm c}\), \(a_{\rm p}\), and interactions were the most significant factors affecting the SR. Next, [PERSON] et al. [10] reported the machinability study on Hastelloy X with PVD and CVD coated tools in comparison with dry and Minimum Quantity Lubrication (MQL) conditions. A mixture of coconut oil with Hexagonal Boron Nitride (HBN) nanoparticles was used as nanofluid for lubrication. Significant reductions in CF, SR, and tool wear were observed in MQL-PVD combination than MQL-CVD and dry-PVD. Finally, [PERSON] et al. [11] investigated the influence of whisker-reinforcedc ceramic tools on tool wear, SR, and tool chattering under dry and Atomization-based Cutting Fluid (ACF) cooling conditions when turning Inconel 718 material. Investigation results stated that the flank wear and SR of the tool were significantly reduced under ACF cooling conditions due to limited notching and fracture of the tool edge at the tool-chip interface. [PERSON] et al. [12] investigated the characteristics of chip formation when machining NiTi shape memory alloys under different \(v_{\mathrm{c}}\) with constant\(f\), \(\mathrm{a_{p}}\). The shape of the chip and microstructure were examined to expose the chip flow behavior. The martensitic phase transformation seemed to have a noticeable effect on the material flow behavior and indeed on the chip formation. [11] investigated the possibility of improving the machinability of Inconel 718 alloy under a dry and atomized spray cutting fluid system. The turning of Inconel 718 alloy with ceramic inserts was carried out by varying the cutting parameters. The output responses such as tool wear, power consumption, surface topography, machine vibrations, chip morphology, and machining cost were analyzed against the experimental design of input parameters. It was observed that the atomized spray cutting fluid technique yielded better results than dry machining. The effect of LN\({}_{2}\) cooling in improving the machinability of Hastelloy X is discussed in the following literature. [PERSON] et al. [13] investigated the turning of Nimonic 90 alloy using uncoated tungsten carbide inserts under the modes like dry, MQL, and cryogenic cutting. At lower \(v_{\mathrm{c}}\), the cutting performance of the cryogenically treated tool was good than the untreated tool. But, the performance of the tool under MQL and LN\({}_{2}\) was good in terms of minimum tool wear at a higher cutting speed. Further, a good SR was obtained under dry and MQL modes than LN\({}_{2}\) cooling mode at all levels of cutting speed. [PERSON] et al. [14] compared the effects of liquid nitrogen and MQL based cryogenic cooling with conventional cooling. For short machining times, the cryogenic cum MQL cooling outperformed conventional cooling. [PERSON] and [PERSON] [15] compared the results of LN\({}_{2}\) machining like tool wear, feed force, CF and CT, chip characteristics, and SR with the wet condition during machining of heat-treated 17-4 Precipitation Hardenable Stainless Steel. The LN\({}_{2}\) machining outperformed even at high \(f\) to reduce all the above-said parameters compared with wet machining. [PERSON] et al. [16] studied the machinability of Inconel 718 under different machining conditions and lubricating systems.