Kubernetes Service Discovery Vs Consul. No idea why you would, but you can. On the other hand, kubernetes is detailed as manage a cluster of linux containers as a single system to accelerate dev and simplify.
Consul can also successfully extend modern container management platforms such as kubernetes and azure service fabric. No idea why you would, but you can. Consul started as a way to manage services running on nomad and has grown to support multiple other data centers and container management platforms, including kubernetes.
Consul can sync kubernetes services with its own service registry.
& consul has health checks too. Eureka is a service discovery tool. Typically clients of eureka use an embedded sdk to register and discover services. Consul can sync kubernetes services with its own service registry.