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An inverse algorithm is developed to estimate the transient convective coefficient distribution of a pulsating bubbly jet impinging on a cylindrical thermal mass. Cooling of the thermal mass is simulated by solving the two-dimensional transient heat equation in a cylindrical coordinate system using the finite difference method. The sum of squared differences between calculated and measured temperature data is the objective functional. As this is a nonlinear IHCP, the adjoint method is employed to derive the gradient components of the objective function, needed for the implementation of CGM. The procedure is carried out for six gas Reynolds numbers changing continuously through ten seconds of the jet impingement. The inverse scheme is validated using noiseless temperature data. The accuracy and convergence rate of the algorithm is then assessed by simulating the cooling process of thermal mass with four different materials. Moreover, the effects of sensors’ location, as well as initial guess on the estimation, are evaluated. Time-varying heat transfer coefficients are then estimated in the presence of Gaussian noise, having four standard deviations. Results demonstrate that, despite the estimation is affected by the noise level, the adjoint method is most efficient and rapidly convergent for the thermal mass with moderate thermal conductivity having a noisy temperature field of $ \sigma $ $ \lt $ 1 $ ^{\circ}{\rm C} $ .

In this research, a novel method to investigate the transient heat transfer coefficient in a channel is proposed, in which the water flow, itself, is considered both single-phase and two-phase. The experiments were designed to predict the temporal and spatial resolution of the Nusselt number. The inverse technique method is non-intrusive, in which time history of temperature is measured, using some thermocouples within the wall to provide input data for the inverse algorithm. The Tikhonov method is used as an inverse method. Error for estimation heat flux is around 0.06qmean. The temporal and spatial changes of heat flux, Nusselt number, vapor quality, convection number, and boiling number have all been estimated, showing that the estimated local Nusselt numbers of flow for without and with phase change are close to those predicted previously. This study suggests that the extended inverse technique can be successfully utilized to calculate the local time-dependent heat transfer coefficient of boiling flow.

In this paper, a series of works are conducted to study the effect of replacing natural gas burning heaters by a ground source heat pumps (GSHPs) to prevent natural gas freezing in the pressure regulating stations. In fact, the pressure drop causes a great temperature drop that can block out the pipeline and it is very crucial to control the phenomenon. Firstly, a conventional heater in the gas pressure drop station of Damavand city is selected as a case study. Then, a shell and tube heat exchanger coupled with GSHP is modelled to replace the conventional heater for eliminating the natural gas consumption in heaters. Finally, consumed energy, costs, and greenhouse gasses emissions are compared with the conventional system. Some main findings from the model show that: (1). Based on the GS2000 software results, the GSHP pipe trench is 601 m which are 7% less than the calculated data. (2). considering different inflation rates (15%-30%), the payback time would change between 4.5 and 7.5 years. (3). Due to the reduction in fossil fuel consumption, the CO2 emission would be reduced by 47%.