A Model for Estimating Passenger-Car Carbon Emissions that Accounts for Uphill, Downhill and Flat Roads

Carbon emissions are the primary reason that contributes to global warming. The gradient has a significant impact on the carbon dioxide (CO2) emissions produced by trucks. The aim of the current paper is to propose a carbon emission quantification model for diesel trucks on longitudinal slope sections and investigate the influence of gradient on the carbon emissions of trucks for use in the low-carbon highway design. The law of conservation of mechanical energy, the first law of thermodynamics, and the vehicle longitudinal dynamics theory were adopted for deriving the carbon emission model of the trucks on the flat, uphill, downhill and round-trip longitudinal slope segments. Three kinds of common trucks were chosen to conduct the field test. Following the test data, the model demonstrates a high accuracy. The minimum gradient which is expected to impact carbon emissions of trucks on the round-trip longitudinal slope sections was the balance gradient as revealed. The gradient of the longitudinal slope is required to be avoided to be greater in comparison with the balance gradient for the achievement of the two-way traffic low carbon operation on a highway. The results of this study are valuable to researchers interested in low carbon road design and low carbon transportation control.

Thermodynamics is an important branch of Applied Thermal Science and Engineering in which the effects of heat and mass transfer, transformation of energy, etc. are studied. It is based on two basic laws, i.e. the first law and second law of thermodynamics. The first law of thermodynamics is one of the most fundamental laws and is of special importance for the energy conversion processes and also called as the ‘Law of Conservation of Energy’. According to this law, energy is always conserved, neither can it be produced nor it can be destroyed; however, it can be converted from one form to another. All the energy that goes into the system comes out somewhere, in some form or the other which is true for all energy conversion systems. Thus, the first law of thermodynamics can be used in the form of energy conservation equation to solve the problem of various devices like heat engines, refrigerators, airconditioners, heat pumps, and other energy conversion systems. However, it tells nothing about how much heat can be converted into useful work and also it does not place restrictions on the conversion of heat into work and vice versa. Thus, as far as the first law of thermodynamics is concerned, all the heat transferred from a heat source to a heat engine could conceivably be converted into useful work, which is not true as shown by the experiments. It is also impossible to predict from the first law of thermodynamics whether a process is physically possible or not. Until now it has been assumed that energy change in thermodynamics can proceed in either direction, which is not true.

We derive the first law of thermodynamics using the method proposed by Wald. Treating the entropy as Noether charge and comparing with the usual first law of thermodynamics, we obtain explicitly the expression of entropy which contains infinitely many non-local terms (i.e. the integral terms). We have proved, in general, that the first law of black hole thermodynamics is violated for f(R,T) gravity. However, there might exist some special cases in which the first law for f(R,T) gravity is recovered.

Black hole thermodynamics establishes a deep and satisfying link to gravity, thermodynamics, and quantum theory. And, the thermodynamic property of black hole is essentially a quantum feature of gravity. In this paper, in order to study the influence of the quantum gravity effect on the quantum properties of black hole, we study the thermodynamics and its quantum correction to a non-commutative black hole. First of all, the temperature of the non-commutative Schwarichild black hole is calculated by using three different methods: surface gravity, tunneling effects and the first law of black hole thermodynamics. It is found that the same hole temperature is obtained by means of the surface gravity and tunneling effects. However, by using the first law of black hole thermodynamics, different results are derived from the first two methods. Therefore, we incline to the result obtained by surface gravity and tunneling effects, and the temperature obtained by the thermodynamic law needs modifying. That is, for the non-commutative black hole, there is a contradiction to the first law of thermodynamics. To calculate the temperature and other thermodynamic quantities for the non-commutative Schwarichild black hole, we use the corrected first law of black hole thermodynamics proposed in the literature. It is found that the black hole temperature derived by the corrected first law is the same as the temperature obtained by the surface gravity and the tunneling model, and the black hole entropy still follows Beckenstein-Hawking area law. Also, the heat capacity of the black hole is obtained and analyzed. It is seen that when the horizon radius and non-commutative parameter satisfy the particular conditions, the heat capacity is positive and the non-commutative black holes are thermodynamically stable. This is a different result from that of the usual Schwarichild black hole. Further, by studying the influence of generalized uncertainty principle on non-commutative black hole thermodynamics, the quantum corrections from generalized uncertainty principle for temperature, entropy and heat capacity of the non-commutative Schwarzschild black hole are given. It is found that with considering this quantum gravity effect, the obtained black hole entropy contains the item of are alogarithm. If the effect of the generalized uncertainty principle is neglected, the corrected black hole entropy can return to that in the usual case of Beckenstein-Hawing area law. Similarly, the corrected black hole temperature and heat capacity can also return to their counterparts in the case of usual Schwarzschild black hole when this quantum gravity effect is ignored.

Examining the relationships between carbon emissions and land supply in China

A unified first law of black-hole dynamics and relativistic thermodynamics is derived in spherically symmetric general relativity. This equation expresses the gradient of the active gravitational energy E according to the Einstein equation, divided into energy-supply and work terms. Projecting the equation along the flow of thermodynamic matter and along the trapping horizon of a black hole yield, respectively, first laws of relativistic thermodynamics and black-hole dynamics. In the black-hole case, this first law has the same form as the first law of black-hole statics, with static perturbations replaced by the derivative along the horizon. In particular, there is the expected term involving the area and surface gravity, where the dynamic surface gravity is defined by substituting the Kodama vector and trapping horizon for the Killing vector and Killing horizon in the standard definition of static surface gravity. The remaining work term is consistent with, for instance, electromagnetic work in special relativity. The dynamic surface gravity vanishes for degenerate trapping horizons and satisfies certain inequalities involving the area and energy which have the same form as for stationary black holes. Turning to the thermodynamic case, the quasi-local first law has the same form, apart from a relativistic factor, as the classical first law of thermodynamics, involving heat supply and hydrodynamic work, but with E replacing the internal energy. Expanding E in the Newtonian limit shows that it incorporates the Newtonian mass, kinetic energy, gravitational potential energy and thermal energy (internal energy with fixed zero). There is also a weak type of unified zeroth law: a Gibbs-like definition of thermal equilibrium requires constancy of an effective temperature, generalizing the Tolman condition and the particular case of Hawking radiation, while gravithermal equilibrium further requires constancy of surface gravity. Finally, it is suggested that the energy operator of spherically symmetric quantum gravity is determined by the Kodama vector, which encodes a dynamic time related to E.

In this work, we have considered a non-canonical scalar field dark energy model in the framework of flat FRW background. It has also been assumed that the dark matter sector interacts with the non-canonical dark energy sector through some interaction term. Using the solutions for this interacting non-canonical scalar field dark energy model, we have investigated the validity of generalized second law (GSL) of thermodynamics in various scenarios using first law and area law of thermodynamics. For this purpose, we have assumed two types of horizons viz apparent horizon and event horizon for the universe and using first law of thermodynamics, we have examined the validity of GSL on both apparent and event horizons. Next, we have considered two types of entropy-corrections on apparent and event horizons. Using the modified area law, we have examined the validity of GSL of thermodynamics on apparent and event horizons under some restrictions of model parameters.

We explore the relationship between the first law of thermodynamics and gravitational field equation at a static, spherically symmetric black hole horizon in Ho\ifmmode \check{r}\else \v{r}\fi{}ava-Lifshitz theory with/without detailed balance. It turns out that as in the cases of Einstein gravity and Lovelock gravity, the gravitational field equation can be cast to a form of the first law of thermodynamics at the black hole horizon. This way we obtain the expressions for entropy and mass in terms of black hole horizon, consistent with those from other approaches. We also define a generalized Misner-Sharp energy for static, spherically symmetric spacetimes in Ho\ifmmode \check{r}\else \v{r}\fi{}ava-Lifshitz theory. The generalized Misner-Sharp energy is conserved in the case without matter field, and its variation gives the first law of black hole thermodynamics at the black hole horizon.

We obtain the mass expression of the three- and five-dimensional Lifshitz black holes by em- ploying the recently proposed quasilocal formulation of conserved charges, which is based on the off-shell extension of the ADT formalism. Our result is consistent with the first law of black hole thermodynamics and resolves the reported discrepancy between the ADT formalism and the other conventional methods. The same mass expression of Lifshitz black holes is obtained by using an- other quasilocal method by Padmanabhan. We also discuss the reported discrepancy in the context of the extended first law of black hole thermodynamics by allowing the pressure term.

Numerical simulation of non-isothermal flow in porous media has great applications in unconventional gas recovery. Reliable and promising numerical methods should be compatible with the first and second laws of thermodynamics. Toward this goal, by taking molar density and temperature as the primary unknowns, we propose an alternative formulation of the realistic non-isothermal gas flow model, which is proved to obey the first and second laws of thermodynamics. On the basis of this formulation, we propose an energy conservative and entropy stable numerical scheme; that is, the scheme can preserve the first law of thermodynamics (the energy conservation law) as well as the second law of thermodynamics (entropy stability). An important ingredient of the scheme is to derive a new discrete chemical potential utilizing the energy factorization approach, which can preserve the dissipation of original Helmholtz free energy. Some subtle temporal and spatial treatments have also been introduced to deal with the inherent coupling relationships between multiple variables. Using the local analysis method, we prove that the scheme can be compatible with both local and global forms of the first and second laws of thermodynamics. Numerical results validate our theoretical analysis and demonstrate conservative and stable features of the proposed scheme.

Exergization

Carbon emission (CE) threatens global climate change severely, leading to the continuous strengthening of the greenhouse effect. Land use changes can greatly affect the ecosystem carbon budget and anthropogenic CE. Based on the land use grids, net ecosystem productivity (NEP), energy consumption-related CE, this study employed various methods to investigate the impact of land use change on carbon balance. The results showed 10.03% of total land use area has land use type changed between 2000 and 2015. Built-up land occupied cropland was the main land use transfer type. The period with the most intense land use changes was 2005–2010, which was constant with the process of China’s urbanization. NEP presented an overall increasing trend excluding built-up land and water areas. Temporally, CE showed an increasing trend in 2000–2015, especially in the industry sector. Spatially, areas with the high energy-related CE were mainly distributed in the south, which has a relatively high economic level. The land use intensity values of cities in Jiangsu all presented an overall increasing trend, which is related to the economic development and local endowment. Cities with higher land use intensity were usually accompanied with high CE, suppressing NEP growth. From 2000 to 2015, soil carbon storage reduced by 0.15 × 108 t, vegetation carbon storage reduced by 0.04 × 108 t, and CE reached 17.42 × 108 t. Total CE caused by land use change reached 15.46 × 108 t. The findings can make references for the low-carbon development from ecological land protection, strengthen land management, and optimize urban planning.

Understanding the effects of sloped roads in the pedestrian environment on the body during ambulation with a walking frame can help design friendlier living environments for elderly individuals. A survey of the characteristics of walking frames used in different pedestrian environments was investigated in five communities, and a controlled study of the effects of a sloped road on a subject with different walking frames was carried out as foundational research in the laboratory. A synchronous acquisition system consisting of a wireless motion capture module and a physiological information recording module was applied to collect data on the motion of the shoulder joint and skin conductance response (SCR) of fingers in one participant. Force data were collected from sensors placed on the four legs of the walking frame. The experimental data obtained during different tasks were quantitatively analyzed. Compared to flat ground, the shoulder joint rotated in the opposite direction in horizontal and internal/external planes when using a wheeled walking frame on an uphill road, and the supportive force decreased on both uphill and downhill roads. The range of motion of the shoulder joint reduced and the direction of the shoulder joint motion changed when using a footed walking frame on both uphill and downhill roads. Additionally, the peak value of the supportive force on the uphill road appeared in the first 50% of the gait cycle, which was earlier than in the other cases. In addition, walking on the uphill road with a walking frame had a maximum SCR value, which means a greater impact of psychological arousal. Biomechanics of the shoulder joint and psychological arousal are closely related to the ease of walking on a sloped road with a walking frame. These findings are beneficial for designing more appropriate environments for elderly individuals who walk with aids.

We consider the problem of the physical process version of the first law of black ring thermodynamics in $n$-dimensional Einstein gravity with additional $(p+1)$-form field strength and dilaton fields. The first order variations of mass, angular momentum and local charge for black ring are derived. From them we prove the physical process version of the first law of thermodynamic for stationary black rings.

ABSTRAK Artikel ini membahas konsep termodinamika yang berlaku pada Lubang Hitam, yaitu hukum termodinamika pertama dan kedua. Hukum pertama termodinamika menghubungkan perubahan massa dengan perubahan entropi dan kerja, memungkinkan Lubang Hitam diperlakukan sebagai sistem termodinamika dengan suhu dan entropi. Hukum kedua termodinamika menyatakan bahwa entropi suatu sistem terisolasi dalam kesetimbangan termodinamika selalu meningkat atau tetap konstan, termasuk untuk Lubang Hitam. Metode penulisan yang digunakan dalam artikel ini melibatkan derivasi matematis untuk entropi Lubang Hitam, dengan menggabungkan hukum kedua termodinamika dan konsep termodinamika Lubang Hitam, di mana entropi dapat dinyatakan sebagai fungsi luas cakrawala peristiwa. Artikel ini menyoroti pentingnya konsep entropi dan termodinamika Lubang Hitam dalam memahami alam semesta, serta penerapannya di berbagai bidang sains. Kata kunci—Lubang Hitam, Termodinamika, Entropi, Hukum pertama termodinamika, Hukum kedua termodinamika ABSTRACT This article delves into the concepts of thermodynamics that apply to Lubang Hitams, namely the first and second laws of thermodynamics. The first law of thermodynamics connects changes in mass with changes in entropy and work, allowing Lubang Hitams to be treated as thermodynamic systems with temperature and entropy. The second law of thermodynamics states that the entropy of an isolated system in thermodynamic equilibrium always increases or remains constant, including for Lubang Hitams. The writing approach employed in this article involves mathematical derivations for Lubang Hitam entropy, combining the second law of thermodynamics with the concept of Lubang Hitam thermodynamics, where entropy can be expressed as a function of the event horizon's surface area. This article highlights the significance of entropy and Lubang Hitam thermodynamics in understanding the universe, as well as their applications in various scientific fields. Keywords—Lubang Hitam, Thermodynamics, Entropy, First law of thermodynamics, Second law of thermodynamics