Abstract: In some aspects, the techniques described herein relate to a quantum method for solving a second-order cone program (SOCP) instance, the method including: defining a Newton system for the SOCP instance by constructing matrix G and vector h based on the SOCP instance; preconditioning matrix G and vector h via row normalization to reduce a condition number of matrix G; iteratively determining u until a predetermined iteration condition is met, the iterations including: causing a quantum computing system to apply matrix G and vector h to a quantum linear system solver (QLSS) to generate a quantum state; causing the quantum computing system to perform quantum state tomography on the quantum state; and updating a value of u based on a current value of u and the output of the quantum state tomography; and determining a solution to the SOCP instance based on the updated value of u.

Abstract: A continuous slag processing system includes a rotating parallel disc pump, coupled to a motor and a brake. The rotating parallel disc pump includes opposing discs coupled to a shaft, an outlet configured to continuously receive a fluid at a first pressure, and an inlet configured to continuously discharge the fluid at a second pressure less than the first pressure. The rotating parallel disc pump is configurable in a reverse-acting pump mode and a letdown turbine mode. The motor is configured to drive the opposing discs about the shaft and against a flow of the fluid to control a difference between the first pressure and the second pressure in the reverse-acting pump mode. The brake is configured to resist rotation of the opposing discs about the shaft to control the difference between the first pressure and the second pressure in the letdown turbine mode.

Abstract: A system includes a quench chamber configured to continuously receive a mixture of a gas and slag, and a downstream end portion coupled to the quench chamber. The quench chamber includes a quench sump configured to continuously separate the gas from the slag in the mixture via a quench liquid. The downstream end portion is configured to continuously convey a slag slurry to a depressurization system.

Abstract: A continuous slag processing system includes a rotating parallel disc pump, coupled to a motor and a brake. The rotating parallel disc pump includes opposing discs coupled to a shaft, an outlet configured to continuously receive a fluid at a first pressure, and an inlet configured to continuously discharge the fluid at a second pressure less than the first pressure. The rotating parallel disc pump is configurable in a reverse-acting pump mode and a letdown turbine mode. The motor is configured to drive the opposing discs about the shaft and against a flow of the fluid to control a difference between the first pressure and the second pressure in the reverse-acting pump mode. The brake is configured to resist rotation of the opposing discs about the shaft to control the difference between the first pressure and the second pressure in the letdown turbine mode.

Abstract: The present application thus provides a gasifier cooling system for cooling a flow of hot syngas from a gasifier. The gasifier cooling system may include a radiant syngas cooler, a quench chamber, and a convective syngas cooler such that the flow of syngas flows through the quench chamber or the convective syngas cooler.

Abstract: A method of reducing the concentration of at least one sulfur compound in a process stream and for recovering at least one sulfur compound from a process stream are provided. A process stream is delivered to a vessel, wherein the vessel comprises an adsorbent material. At least one solvent is transferred into the vessel. One or more fluids are then removed from the vessel. At least one of the fluids removed from the vessel comprises a clean gas. The adsorbent material may be regenerated to yield a high concentration of the at least one sulfur compound.

Abstract: A method of reducing the concentration of at least one sulfur compound in a process stream and for recovering at least one sulfur compound from a process stream are provided. A process stream is delivered to a vessel, wherein the vessel comprises an adsorbent material. At least one solvent is transferred into the vessel. One or more fluids are then removed from the vessel. At least one of the fluids removed from the vessel comprises a clean gas. The adsorbent material may be regenerated to yield a high concentration of the at least one sulfur compound.

Abstract: The present application thus provides a gasifier cooling system for cooling a flow of hot syngas from a gasifier. The gasifier cooling system may include a radiant syngas cooler, a quench chamber, and a convective syngas cooler such that the flow of syngas flows through the quench chamber or the convective syngas cooler.

Abstract: Compositions, methods of making compositions, materials including compositions, crayons including compositions, paint including compositions, ink including compositions, waxes including compositions, polymers including compositions, vesicles including the compositions, methods of making each, and the like are disclosed.

Abstract: Phosphor and fluorescent compositions and methods of producing them are provided.

Abstract: Compositions, methods of making compositions, materials including compositions, crayons including compositions, paint including compositions, ink including compositions, waxes including compositions, polymers including compositions, vesicles including the compositions, methods of making each, and the like are disclosed.